{"id":13860,"date":"2024-05-07T11:27:20","date_gmt":"2024-05-07T07:57:20","guid":{"rendered":"https:\/\/cfd-mrk.ir\/?page_id=13860"},"modified":"2024-05-07T12:55:59","modified_gmt":"2024-05-07T09:25:59","slug":"coupled-level-set-and-vof-model","status":"publish","type":"page","link":"https:\/\/cfd-mrk.ir\/index.php\/training\/flow-analysis\/fundamentals-of-cfd\/volume-of-fluid\/coupled-level-set-and-vof-model\/","title":{"rendered":"\u0645\u062f\u0644 \u06a9\u0648\u067e\u0644\u06cc\u0646\u06af VOF \u0648 Level-Set"},"content":{"rendered":"

\u0645\u062f\u0644 \u06a9\u0648\u067e\u0644\u06cc\u0646\u06af VOF \u0648 Level-Set<\/strong><\/span><\/h2>\r\n

Coupled Level-Set and VOF Model<\/strong><\/span><\/h2>\r\n

\u0645\u062f\u0644 \u06a9\u0648\u067e\u0644\u06cc\u0646\u06af VOF \u0648 Level-Set \u062a\u0631\u06a9\u06cc\u0628 \u0645\u062f\u0644\u200c\u0647\u0627\u06cc \u062a\u0646\u0638\u06cc\u0645 \u0633\u0637\u062d (Level-Set) \u0648 \u06a9\u0633\u0631 \u062d\u062c\u0645\u06cc (VOF) \u0645\u06cc\u200c\u0628\u0627\u0634\u062f. \u0645\u062f\u0644 \u062a\u0646\u0638\u06cc\u0645 \u0633\u0637\u062d (Level Set) \u06cc\u06a9 \u0631\u0648\u0634 \u0631\u0635\u062f \u0641\u0635\u0644 \u0645\u0634\u062a\u0631\u06a9 \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u062c\u0631\u06cc\u0627\u0646 \u062f\u0648\u0641\u0627\u0632 \u0628\u0627 \u0641\u0635\u0644 \u0645\u0634\u062a\u0631\u06a9 (\u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633\u200c\u0647\u0627\u06cc) \u067e\u06cc\u0686\u06cc\u062f\u0647 \u0647\u0646\u062f\u0633\u06cc \u0628\u06cc\u0646 \u0641\u0627\u0632\u06cc \u0645\u06cc\u200c\u0628\u0627\u0634\u062f. \u0627\u06cc\u0646 \u0645\u062a\u062f \u0634\u0628\u06cc\u0647 \u0631\u0635\u062f \u0641\u0635\u0644 \u0645\u0634\u062a\u0631\u06a9 (\u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633) \u0645\u062f\u0644 VOF \u0645\u06cc\u200c\u0628\u0627\u0634\u062f. \u062f\u0631 \u0645\u062a\u062f \u062a\u0646\u0638\u06cc\u0645 \u0633\u0637\u062d (Level-Set) \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633\u200c\u0647\u0627 \u062a\u0648\u0633\u0637 \u062a\u0627\u0628\u0639 \u062a\u0646\u0638\u06cc\u0645 \u0633\u0637\u062d \u06a9\u0647 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0641\u0627\u0635\u0644\u0647 \u0639\u0644\u0627\u0645\u062a \u062f\u0627\u0631 \u0627\u0632 \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 \u062a\u0639\u0631\u06cc\u0641 \u0645\u06cc\u200c\u0634\u0648\u062f\u060c \u0645\u0634\u062e\u0635 \u0648 \u0631\u062f\u06cc\u0627\u0628\u06cc \u0645\u06cc\u200c\u06af\u0631\u062f\u062f ]1[. \u0627\u0632 \u0622\u0646\u062c\u0627\u0626\u06cc\u06a9\u0647 \u062a\u0627\u0628\u0639 \u062a\u0646\u0638\u06cc\u0645 \u0633\u0637\u062d \u0647\u0645\u0648\u0627\u0631 \u0648 \u067e\u06cc\u0648\u0633\u062a\u0647 \u0627\u0633\u062a \u06af\u0631\u0627\u062f\u06cc\u0627\u0646\u200c\u0647\u0627\u06cc \u067e\u0627\u0631\u0627\u0645\u062a\u0631\u0647\u0627\u06cc \u0645\u06a9\u0627\u0646\u06cc \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u0646\u062f \u0628\u0627 \u062f\u0642\u062a \u0645\u062d\u0627\u0633\u0628\u0647 \u0634\u0648\u0646\u062f. \u0627\u06cc\u0646 \u0645\u0647\u0645 \u0628\u0627\u0639\u062b \u062a\u062e\u0645\u06cc\u0646\u200c\u0647\u0627\u06cc \u062f\u0642\u06cc\u0642\u06cc \u0627\u0632 \u0627\u0646\u062d\u0646\u0627\u06cc \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 \u0648 \u0647\u0645\u0686\u0646\u06cc\u0646 \u0646\u06cc\u0631\u0648\u06cc \u06a9\u0634\u0634 \u0633\u0637\u062d\u06cc \u0646\u0627\u0634\u06cc \u0627\u0632 \u0627\u0646\u062d\u0646\u0627 \u0645\u0631\u0632 \u0628\u06cc\u0646 \u0641\u0627\u0632\u0647\u0627 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0627\u0645\u0627 \u0646\u06a9\u062a\u0647 \u0627\u06cc\u0646\u062c\u0627\u0633\u062a \u06a9\u0647 \u0631\u0648\u0634 \u062a\u0646\u0638\u06cc\u0645 \u0633\u0637\u062d \u062f\u0631 \u062d\u0641\u0638 \u0628\u0642\u0627\u06cc \u062d\u062c\u0645 \u0636\u0639\u0641 \u062f\u0627\u0631\u062f. \u0627\u0632 \u0637\u0631\u0641\u06cc \u0645\u062f\u0644 VOF \u0630\u0627\u062a\u0627 \u06cc\u06a9 \u0645\u062f\u0644 \u062d\u062c\u0645 \u067e\u0627\u06cc\u0647 \u0627\u0633\u062a \u0686\u0631\u0627\u06a9\u0647 \u06a9\u0633\u0631 \u062d\u062c\u0645\u06cc \u0628\u06cc\u0646 \u0641\u0627\u0632\u0647\u0627 \u0631\u0627 \u0628\u0647 \u062c\u0627\u06cc \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 \u0628\u06cc\u0646 \u0622\u0646\u200c\u0647\u0627 \u062f\u0631 \u0647\u0631 \u0633\u0644\u0648\u0644 \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc\u200c\u06a9\u0646\u062f. \u0636\u0639\u0641 \u0645\u062f\u0644 VOF \u062f\u0631 \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u0634\u062a\u0642\u0627\u062a \u067e\u0627\u0631\u0627\u0645\u062a\u0631\u0647\u0627\u06cc \u0645\u06a9\u0627\u0646\u06cc \u0622\u0634\u06a9\u0627\u0631 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0632\u06cc\u0631\u0627 \u062a\u0627\u0628\u0639 VOF \u062f\u0631 \u0633\u0631\u062a\u0627\u0633\u0631 \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 \u0646\u0627\u067e\u06cc\u0648\u0633\u062a\u0647 \u0627\u0633\u062a. \u0628\u0631\u0627\u06cc \u063a\u0644\u0628\u0647 \u0628\u0631 \u0646\u0648\u0627\u0642\u0635 \u062f\u0648 \u0645\u062a\u062f VOF \u0648 \u062a\u0646\u0638\u06cc\u0645 \u0633\u0637\u062d \u06cc\u06a9 \u0631\u0648\u06cc\u06a9\u0631\u062f \u06a9\u0648\u067e\u0644\u06cc\u0646\u06af VOF \u0648 \u062a\u0646\u0638\u06cc\u0645 \u0633\u0637\u062d \u062f\u0631 \u0646\u0631\u0645 \u0627\u0641\u0632\u0627\u0631 Fluent \u062f\u0631 \u0646\u0638\u0631 \u06af\u0631\u0641\u062a\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a.<\/span><\/p>\r\n

\u062a\u0648\u062c\u0647: \u0645\u062f\u0644 VOF \u0648 \u062a\u0646\u0638\u06cc\u0645 \u0633\u0637\u062d \u06a9\u0648\u0628\u0644 \u0634\u062f\u0647 \u062a\u0646\u0647\u0627 \u0628\u0631\u0627\u06cc \u062c\u0631\u06cc\u0627\u0646\u200c\u0647\u0627\u06cc \u062f\u0648 \u0641\u0627\u0632\u06cc \u062a\u0648\u0633\u0639\u0647 \u06cc\u0627\u0641\u062a\u0647 \u0627\u0633\u062a \u06a9\u0647 \u0647\u06cc\u0686\u200c\u06af\u0648\u0646\u0647 \u0627\u0646\u062a\u0642\u0627\u0644 \u062c\u0631\u0645\u06cc \u0628\u06cc\u0646 \u062f\u0648 \u0641\u0627\u0632 \u0627\u062a\u0641\u0627\u0642 \u0646\u0645\u06cc\u200c\u0627\u0641\u062a\u062f \u0648 \u0647\u0645\u0686\u0646\u06cc\u0646 \u062a\u0646\u0647\u0627 \u0628\u0631\u0627\u06cc \u062c\u0631\u06cc\u0627\u0646\u200c\u0647\u0627\u06cc \u0646\u0627\u067e\u0627\u06cc\u0627 \u0642\u0627\u0628\u0644 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0633\u062a. \u0639\u0644\u0627\u0648\u0647 \u0628\u0631 \u0627\u06cc\u0646 \u0634\u0628\u06a9\u0647\u200c\u0647\u0627\u06cc \u0633\u0627\u0632\u06af\u0627\u0631 \u0628\u0627 \u0627\u06cc\u0646 \u0645\u062f\u0644 \u062a\u0646\u0647\u0627 \u0628\u0647 \u0634\u0628\u06a9\u0647\u200c\u0647\u0627\u06cc \u0645\u062a\u0634\u06a9\u0644 \u0627\u0632 \u0627\u0644\u0645\u0627\u0646\u200c\u0647\u0627\u06cc \u0633\u0647 \u0636\u0644\u0639\u06cc\u060c \u0686\u0647\u0627\u0631 \u0636\u0644\u0639\u06cc \u0648 \u06cc\u0627 \u062a\u0631\u06a9\u06cc\u0628\u06cc \u0627\u0632 \u0622\u0646\u200c\u0647\u0627 \u062f\u0631 \u062f\u0648 \u0628\u0639\u062f \u0648 \u0634\u0628\u06a9\u0647\u200c\u0647\u0627\u06cc \u0645\u062a\u0634\u06a9\u0644 \u0627\u0632 \u0627\u0644\u0645\u0627\u0646\u200c\u0647\u0627\u06cc \u0634\u0634 \u0648\u062c\u0647\u06cc\u060c \u0686\u0647\u0627\u0631 \u0648\u062c\u0647\u06cc \u0648 \u06cc\u0627 \u062a\u0631\u06a9\u06cc\u0628\u06cc \u0627\u0632 \u0622\u0646\u200c\u0647\u0627 \u062f\u0631 \u0633\u0647 \u0628\u0639\u062f\u060c \u0645\u062d\u062f\u0648\u062f \u0645\u06cc\u200c\u0634\u0648\u0646\u062f.<\/span><\/p>\r\n

 <\/p>\r\n

1- \u062a\u0626\u0648\u0631\u06cc\u00a0<\/strong><\/span><\/h3>\r\n

\u062a\u0627\u0628\u0639 \u062a\u0646\u0638\u06cc\u0645 \u0633\u0637\u062d\u060c\u03c6<\/em> \u060c \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u06cc\u06a9 \u0641\u0627\u0635\u0644\u0647 \u0639\u0644\u0627\u0645\u062a \u062f\u0627\u0631\u062f \u062a\u0627 \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 \u062a\u0639\u0631\u06cc\u0641 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0628\u0631 \u0627\u06cc\u0646 \u0627\u0633\u0627\u0633 \u0627\u06cc\u0646 \u062a\u0627\u0628\u0639 \u062f\u0631 \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 \u0635\u0641\u0631 \u0627\u0633\u062a \u0648 (x, t)\u03c6<\/em> \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u0628\u0631\u0627\u0633\u0627\u0633 {0=(x, t) x|\u03c6}=\u0393\u062f\u0631 \u062c\u0631\u06cc\u0627\u0646 \u062f\u0648 \u0641\u0627\u0632\u06cc \u0628\u0647 \u0635\u0648\u0631\u062a \u0631\u0627\u0628\u0637\u0647 (101) \u062a\u0639\u0631\u06cc\u0641 \u0634\u0648\u062f. \u062f\u0631 \u0627\u06cc\u0646 \u0631\u0627\u0628\u0637\u0647 d \u0641\u0627\u0635\u0644\u0647 \u0627\u0632 \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 \u0627\u0633\u062a. \u0628\u0633\u0637 \u062a\u0627\u0628\u0639 \u062a\u0646\u0638\u06cc\u0645 \u0633\u0637\u062d \u0631\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0628\u0647 \u0631\u0648\u0634\u06cc \u0645\u0634\u0627\u0628\u0647 \u0628\u0627 \u0645\u062a\u062f VOF \u0627\u0631\u0627\u0626\u0647 \u06a9\u0631\u062f (\u0645\u0639\u0627\u062f\u0644\u0647 102). \u067e\u0627\u0631\u0627\u0645\u062a\u0631 \u016b<\/em>\u00a0\u062f\u0631 \u0627\u06cc\u0646 \u0645\u0639\u0627\u062f\u0644\u0647 \u0647\u0645\u0627\u0646 \u0645\u06cc\u062f\u0627\u0646 \u0633\u0631\u0639\u062a \u06a9\u0644\u06cc \u062c\u0631\u06cc\u0627\u0646 \u0645\u06cc\u200c\u0628\u0627\u0634\u062f. \u0645\u0639\u0627\u062f\u0644\u0647 \u0645\u0645\u0646\u062a\u0645 \u0646\u06cc\u0632 \u0637\u0628\u0642 \u0631\u0627\u0628\u0637\u0647 (103) \u062a\u0639\u0631\u06cc\u0641 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/p>\r\n

\"\u0641\u0631\u0645\u0648\u0644\u0627\u0633\u06cc\u0648\u0646 \u00a0<\/p>\r\n

2- \u0646\u06cc\u0631\u0648\u06cc \u062a\u0646\u0634 \u0633\u0637\u062d\u06cc<\/strong><\/span><\/h3>\r\n

\u0646\u06cc\u0631\u0648\u06cc \u062a\u0646\u0634 \u0633\u0637\u062d\u06cc\u060cFsf<\/strong> \u060c \u0646\u0627\u0634\u06cc \u0627\u0632 \u0627\u062b\u0631\u0627\u062a \u062a\u0646\u0634 \u0633\u0637\u062d\u06cc \u0627\u0632 \u0645\u0639\u0627\u062f\u0644\u0647 (104) \u0628\u0647 \u062f\u0633\u062a \u0645\u06cc\u200c\u0622\u06cc\u062f.<\/span><\/p>\r\n

\"\u0641\u0631\u0645\u0648\u0644\u0627\u0633\u06cc\u0648\u0646<\/p>\r\n

\u062f\u0631 \u0628\u0631\u062e\u06cc \u0645\u0648\u0627\u0631\u062f \u0627\u0639\u0645\u0627\u0644 \u0646\u06cc\u0631\u0648\u06cc \u062a\u0646\u0634 \u0633\u0637\u062d\u06cc \u067e\u06cc\u0634 \u0641\u0631\u0636 (\u0647\u0645\u0627\u0646 \u0637\u0648\u0631 \u06a9\u0647 \u062f\u0631 \u0645\u0639\u0627\u062f\u0644\u0647 (107) \u0646\u0648\u0634\u062a\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a.) \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u0628\u0647 \u0638\u0647\u0648\u0631 \u062c\u0631\u06cc\u0627\u0646 \u06a9\u0627\u0630\u0628 \u062f\u0631 \u0641\u0631\u0622\u06cc\u0646\u062f \u062d\u0644 \u0645\u0633\u0626\u0644\u0647 \u0645\u0646\u062c\u0631 \u0634\u0648\u062f. \u062f\u0631 \u0646\u0631\u0645 \u0627\u0641\u0632\u0627\u0631 Fluent<\/em> \u0628\u0631\u0627\u06cc \u06a9\u0627\u0647\u0634 \u0627\u06cc\u0646 \u0627\u062b\u0631\u0627\u062a \u062f\u0648 \u062a\u0627\u0628\u0639 \u0648\u0632\u0646\u06cc \u062f\u0631 \u0646\u0638\u0631 \u06af\u0631\u0641\u062a\u0647 \u0634\u062f\u0647 \u06a9\u0647 \u0646\u06cc\u0631\u0648\u06cc \u062a\u0646\u0634 \u0633\u0637\u062d\u06cc \u0631\u0627 \u0628\u0647 \u0633\u0645\u062a \u0641\u0627\u0632 \u0633\u0646\u06af\u06cc\u0646\u200c\u062a\u0631 \u062f\u0631 \u0633\u0644\u0648\u0644\u200c\u0647\u0627\u06cc \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 \u062a\u0648\u0632\u06cc\u0639 \u0645\u06cc\u200c\u06a9\u0646\u062f.<\/span><\/p>\r\n

 <\/p>\r\n

\u062a\u0635\u062d\u06cc\u062d \u0686\u06af\u0627\u0644\u06cc<\/span> <\/strong><\/span><\/h4>\r\n

\u062f\u0631 \u0641\u0631\u0645\u0648\u0644\u0627\u0633\u06cc\u0648\u0646 \u062a\u0635\u062d\u06cc\u062d \u0686\u06af\u0627\u0644\u06cc\u060c \u0645\u0639\u0627\u062f\u0644\u0647 (104) \u0628\u0627 \u0627\u0639\u0645\u0627\u0644 \u0646\u0633\u0628\u062a \u0686\u06af\u0627\u0644\u06cc \u0628\u0647 \u0635\u0648\u0631\u062a \u0631\u0627\u0628\u0637\u0647 (108) \u0628\u0627\u0632 \u0646\u0648\u06cc\u0633\u06cc \u0645\u06cc\u200c\u0634\u0648\u062f \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u00a0\u0686\u06af\u0627\u0644\u06cc \u062d\u062c\u0645 \u0645\u0628\u0646\u0627\u0633\u062a.<\/span><\/p>\r\n

 <\/p>\r\n

\u0645\u0642\u06cc\u0627\u0633 \u06af\u0630\u0627\u0631\u06cc \u062a\u0627\u0628\u0639 \u0647\u0648\u06cc\u0633\u0627\u06cc\u062f (<\/strong>Heaviside Function Scaling<\/em><\/strong>)<\/strong><\/span><\/h4>\r\n

\u062f\u0631 \u0641\u0631\u0645\u0648\u0644\u0627\u0633\u06cc\u0648\u0646 \u0645\u0642\u06cc\u0627\u0633 \u06af\u0630\u0627\u0631\u06cc \u062a\u0627\u0628\u0639 \u0647\u0648\u06cc\u0633\u0627\u06cc\u062f\u060c \u0645\u0639\u0627\u062f\u0644\u0647 (104) \u0628\u0627 \u0627\u0639\u0645\u0627\u0644 \u062a\u0627\u0628\u0639 \u0647\u0648\u06cc\u0633\u0627\u06cc\u062f \u0628\u0647 \u0635\u0648\u0631\u062a \u0631\u0627\u0628\u0637\u0647 (109) \u0628\u0627\u0632 \u0646\u0648\u06cc\u0633\u06cc \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/p>\r\n

 <\/p>\r\n

\"\u062a\u0627\u0628\u0639<\/p>\r\n

 <\/p>\r\n

\u062a\u062c\u062f\u06cc\u062f \u062d\u062f\u0633 \u0627\u0648\u0644\u06cc\u0647 (Re-Initialization) \u062a\u0627\u0628\u0639 \u062a\u0646\u0638\u06cc\u0645 \u0633\u0637\u062d \u0627\u0632 \u0637\u0631\u06cc\u0642 \u0631\u0648\u0634 \u0647\u0646\u062f\u0633\u06cc<\/strong><\/span><\/h3>\r\n

\u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0645\u0639\u0627\u062f\u0644\u0647 \u0627\u0646\u062a\u0642\u0627\u0644 \u062a\u0627\u0628\u0639 \u062a\u0646\u0638\u06cc\u0645 \u0633\u0637\u062d (\u0645\u0639\u0627\u062f\u0644\u0647 102) \u0628\u0639\u06cc\u062f \u0627\u0633\u062a \u06a9\u0647 \u0642\u06cc\u062f \u0641\u0627\u0635\u0644\u0647 \u00a0\u067e\u0633 \u0627\u0632 \u062d\u0644 \u0622\u0646 \u062d\u0641\u0638 \u0634\u0648\u062f. \u0627\u06cc\u0646 \u0627\u0645\u0631 \u0627\u0632 \u062a\u063a\u06cc\u06cc\u0631 \u0634\u06a9\u0644\u060c \u067e\u0631\u0648\u0641\u0627\u06cc\u0644 \u0646\u0627 \u0647\u0645\u0648\u0627\u0631 \u0648 \u0636\u062e\u0627\u0645\u062a \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 \u0646\u0627\u0634\u06cc \u0645\u06cc\u200c\u0634\u0648\u062f. \u0642\u0627\u0628\u0644 \u062a\u0648\u062c\u0647 \u0627\u0633\u062a \u0627\u06cc\u0646 \u062e\u0637\u0627\u0647\u0627 \u062f\u0631 \u0637\u0648\u0644 \u0641\u0631\u0622\u06cc\u0646\u062f \u062a\u06a9\u0631\u0627\u0631 \u062d\u0644 \u0645\u06cc\u062f\u0627\u0646 \u062c\u0631\u06cc\u0627\u0646\u060c \u0627\u0646\u0628\u0627\u0634\u062a\u0647 \u0634\u062f\u0647 \u0648 \u0628\u0627\u0639\u062b \u0628\u0631\u0648\u0632 \u062e\u0637\u0627\u0647\u0627\u06cc \u0628\u0632\u0631\u06af \u062f\u0631 \u062d\u0644 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u062c\u0631\u0645 \u0648 \u0645\u0645\u0646\u062a\u0645 (\u062a\u06a9\u0627\u0646\u0647) \u0645\u06cc\u200c\u0634\u0648\u0646\u062f. \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0628\u0631\u0627\u06cc \u0647\u0631 \u06af\u0627\u0645 \u0632\u0645\u0627\u0646\u06cc \u0627\u0639\u0645\u0627\u0644 \u06cc\u06a9 \u062d\u062f\u0633 \u0627\u0648\u0644\u06cc\u0647 (\u0634\u0631\u0637 \u0627\u0648\u0644\u06cc\u0647) \u0645\u062c\u062f\u062f \u0627\u0644\u0632\u0627\u0645\u06cc\u0633\u062a. \u062f\u0631 \u0645\u062f\u0644 \u06a9\u0648\u067e\u0644\u06cc\u0646\u06af VOF \u0648 Level-Set \u0627\u0632 \u0631\u0648\u0634 \u0633\u0627\u062e\u062a\u0627\u0631 \u062c\u0628\u0647\u0647 \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 \u0647\u0646\u062f\u0633\u06cc (Geometrical Interface-Front Construction) \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0627\u06cc\u0646 \u0631\u0648\u0634 \u0647\u0646\u062f\u0633\u06cc \u0627\u0632 \u06cc\u06a9 \u0645\u0641\u0647\u0648\u0645 \u0633\u0627\u062f\u0647 \u0628\u0631\u062e\u0648\u0631\u062f\u0627\u0631 \u0627\u0633\u062a \u06a9\u0647 \u062f\u0631 \u062a\u0648\u0644\u06cc\u062f \u062f\u0627\u062f\u0647\u200c\u0647\u0627\u06cc \u0647\u0646\u062f\u0633\u06cc \u062f\u0642\u06cc\u0642 \u0628\u0631\u0627\u06cc \u062c\u0628\u0647\u0647 \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0628\u0647 \u0622\u0646 \u0627\u0639\u062a\u0645\u0627\u062f \u06a9\u0631\u062f. \u0627\u0632 \u0645\u0642\u0627\u062f\u06cc\u0631 VOF \u0648 \u062a\u0627\u0628\u0639 \u062a\u0646\u0638\u06cc\u0645 \u0633\u0637\u062d \u0628\u0647 \u0637\u0648\u0631 \u0647\u0645 \u0632\u0645\u0627\u0646 \u0628\u0631\u0627\u06cc \u0628\u0627\u0632 \u0633\u0627\u0632\u06cc \u062c\u0628\u0647\u0647 \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0628\u0647 \u0639\u0628\u0627\u0631\u062a \u062f\u06cc\u06af\u0631 \u0645\u062f\u0644 VOF \u0627\u0646\u062f\u0627\u0632\u0647 \u0628\u0631\u0634 \u0631\u0627 \u062f\u0631 \u0633\u0644\u0648\u0644\u06cc \u06a9\u0647 \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 \u0627\u062d\u062a\u0645\u0627\u0644\u06cc \u0627\u0632 \u0622\u0646 \u0639\u0628\u0648\u0631 \u0645\u06cc\u200c\u06a9\u0646\u062f \u0627\u0631\u0627\u0626\u0647 \u0645\u06cc\u200c\u062f\u0647\u062f \u0648 \u06af\u0631\u0627\u062f\u06cc\u0627\u0646 \u062a\u0627\u0628\u0639 \u0633\u0637\u062d \u062c\u0647\u062a \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 \u0631\u0627 \u062a\u0639\u06cc\u06cc\u0646 \u0645\u06cc\u200c\u06a9\u0646\u062f.<\/span><\/p>\r\n

\u0645\u0641\u0647\u0648\u0645 \u0633\u0627\u062e\u062a\u0627\u0631 \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 \u062e\u0637\u06cc \u062a\u06a9\u0647\u200c\u0627\u06cc (Piecewise Linear Interface Construction: PLIC) \u0628\u0631\u0627\u06cc \u0633\u0627\u062e\u062a \u062c\u0628\u0647\u0647 \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 \u0646\u06cc\u0632 \u0628\u0647 \u06a9\u0627\u0631 \u06af\u0631\u0641\u062a\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0641\u0631\u0622\u06cc\u0646\u062f \u062a\u062c\u062f\u06cc\u062f \u0633\u0627\u062e\u062a\u0627\u0631 \u062c\u0628\u0647\u0647 \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 \u062f\u0631 \u0627\u062f\u0627\u0645\u0647 \u0647\u0645\u0627\u0646\u0646\u062f \u0622\u0646\u0686\u0647 \u06a9\u0647 \u062f\u0631 \u0634\u06a9\u0644 (12) \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u0634\u0645\u0627\u062a\u06cc\u06a9\u06cc \u0627\u0632 \u0628\u0631\u0634 \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 \u062f\u0631 \u0633\u0644\u0648\u0644 \u062f\u0631 \u0628\u0631 \u06af\u06cc\u0631\u0646\u062f\u0647 \u0645\u0631\u0632 \u0628\u06cc\u0646 \u0641\u0627\u0632\u0647\u0627 \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a\u060c \u062a\u0634\u0631\u06cc\u062d \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/p>\r\n

1- \u0633\u0644\u0648\u0644\u200c\u0647\u0627\u06cc \u062c\u0628\u0647\u0647 \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 (\u0633\u0644\u0648\u0644\u200c\u0647\u0627\u06cc \u062f\u0631 \u0628\u0631 \u06af\u06cc\u0631\u0646\u062f\u0647 \u0645\u0631\u0632 \u0628\u06cc\u0646 \u0641\u0627\u0632\u0647\u0627) \u0631\u0627 \u067e\u06cc\u062f\u0627 \u06a9\u0646\u06cc\u062f\u060c \u062c\u0627\u0626\u06cc\u06a9\u0647 \u0639\u0644\u0627\u0645\u062a \u00a0\u062f\u0631 \u0622\u0646 \u0628\u06cc\u0646 \u0645\u062b\u0628\u062a \u0648 \u0645\u0646\u0641\u06cc \u0645\u062a\u063a\u06cc\u0631 \u0627\u0633\u062a \u06cc\u0627 \u0627\u06cc\u0646\u06a9\u0647 \u0645\u0642\u062f\u0627\u0631 \u06a9\u0633\u0631 \u062d\u062c\u0645\u06cc \u0641\u0627\u0632\u0647\u0627 \u0628\u06cc\u0646 \u0635\u0641\u0631 \u0648 \u06cc\u06a9 \u0645\u06cc\u200c\u0628\u0627\u0634\u062f. \u062f\u0631 \u0648\u0627\u0642\u0639 \u0627\u06cc\u0646 \u0633\u0644\u0648\u0644\u200c\u0647\u0627\u06cc \u062c\u0628\u0647\u0647 \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 \u0634\u0627\u0645\u0644 \u062a\u0646\u0647\u0627 \u06cc\u06a9 \u0641\u0627\u0632 \u0646\u06cc\u0633\u062a \u0648 \u0627\u0632 \u0647\u0631 \u062f\u0648 \u0641\u0627\u0632 \u062a\u0634\u06a9\u06cc\u0644 \u0634\u062f\u0647 \u0627\u0633\u062a.<\/span><\/p>\r\n

2- \u0646\u0631\u0645\u0627\u0644 \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 \u062f\u0631 \u0647\u0631 \u0633\u0644\u0648\u0644 \u062c\u0628\u0647\u0647 \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 \u0631\u0627 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u06af\u0631\u0627\u062f\u06cc\u0627\u0646 \u062a\u0627\u0628\u0639 \u062a\u0646\u0638\u06cc\u0645 \u0633\u0637\u062d \u0645\u062d\u0627\u0633\u0628\u0647 \u06a9\u0646\u06cc\u062f.<\/span><\/p>\r\n

3- \u0628\u0631\u0634 \u0631\u0627 \u062f\u0631 \u0645\u0648\u0642\u0639\u06cc\u062a \u0645\u0646\u0627\u0633\u0628 \u062f\u0631 \u0633\u0644\u0648\u0644 \u0642\u0631\u0627\u0631 \u062f\u0647\u06cc\u062f. \u0645\u0637\u0645\u0626\u0646 \u0634\u0648\u06cc\u062f \u06a9\u0647 \u062d\u062f\u0627\u0642\u0644 \u06cc\u06a9 \u06af\u0648\u0634\u0647 \u0627\u0632 \u0627\u0644\u0645\u0627\u0646 \u062a\u0648\u0633\u0637 \u0641\u0627\u0632 \u0645\u0648\u0631\u062f \u0646\u0638\u0631 \u062f\u0631 \u0633\u0644\u0648\u0644\u200c\u0647\u0627\u06cc \u0647\u0645\u0633\u0627\u06cc\u0647 \u0646\u06cc\u0632 \u0627\u0634\u063a\u0627\u0644 \u0634\u062f\u0647 \u0628\u0627\u0634\u062f.<\/span><\/p>\r\n

4- \u0645\u062d\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0628\u06cc\u0646 \u0628\u0631\u062f\u0627\u0631 \u0639\u0645\u0648\u062f \u0628\u0631 \u062e\u0637 \u0645\u0631\u06a9\u0632\u06cc \u0633\u0644\u0648\u0644 \u0648 \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 \u0631\u0627 \u067e\u06cc\u062f\u0627 \u06a9\u0646\u06cc\u062f \u062a\u0627 \u0634\u0631\u0637 VOF \u0627\u0631\u0636\u0627 \u0634\u0648\u062f.<\/span><\/p>\r\n

5- \u0646\u0642\u0627\u0637 \u062a\u0644\u0627\u0642\u06cc \u0628\u06cc\u0646 \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 \u0648 \u0645\u0631\u0632\u0647\u0627\u06cc \u0633\u0644\u0648\u0644 \u0631\u0627 \u067e\u06cc\u062f\u0627 \u06a9\u0646\u06cc\u062f. \u0627\u06cc\u0646 \u0646\u0642\u0627\u0637 \u0628\u0631\u062e\u0648\u0631\u062f \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0646\u0642\u0627\u0637 \u062c\u0628\u0647\u0647 \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 \u062f\u0631 \u0646\u0638\u0631 \u06af\u0631\u0641\u062a\u0647 \u062e\u0648\u0627\u0647\u0646\u062f \u0634\u062f.<\/span><\/p>\r\n

\"\u062a\u062c\u062f\u06cc\u062f<\/p>\r\n

\u0634\u06a9\u0644-:1 \u0634\u0645\u0627\u062a\u06cc\u06a9\u06cc \u0627\u0632 \u0628\u0631\u0634 \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 \u062f\u0631 \u0633\u0644\u0648\u0644 \u0645\u0631\u0632\u06cc \u0628\u06cc\u0646 \u0641\u0627\u0632\u0647\u0627<\/span><\/strong><\/h6>\r\n

\u0628\u0627 \u0628\u0627\u0632\u0633\u0627\u0632\u06cc \u062c\u0628\u0647\u0647 \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633\u060c \u0641\u0631\u0622\u06cc\u0646\u062f \u06a9\u0645\u06cc\u0646\u0647 \u0633\u0627\u0632\u06cc \u0641\u0627\u0635\u0644\u0647 \u0627\u0632 \u06cc\u06a9 \u0646\u0642\u0637\u0647 \u0645\u0639\u06cc\u0646 \u062a\u0627 \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u0637\u0628\u0642 \u0645\u0631\u0627\u062d\u0644 \u0632\u06cc\u0631 \u0627\u0646\u062c\u0627\u0645 \u0634\u0648\u062f:<\/span><\/p>\r\n

1- \u0641\u0627\u0635\u0644\u0647 \u0646\u0642\u0637\u0647 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u062f\u0631 \u062f\u0627\u0645\u0646\u0647 \u062a\u0627 \u0647\u0631 \u0628\u062e\u0634 \u0628\u0631\u0634 \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 \u062f\u0631 \u06cc\u06a9 \u0633\u0644\u0648\u0644 \u0645\u0631\u0632\u06cc \u0628\u06cc\u0646 \u0641\u0627\u0632\u06cc \u0631\u0627 \u0627\u0632 \u0631\u0648\u0634 \u0632\u06cc\u0631 \u0645\u062d\u0627\u0633\u0628\u0647 \u06a9\u0646\u06cc\u062f:<\/span><\/p>\r\n

\u0627\u0644\u0641- \u0627\u06af\u0631 \u062e\u0637 \u0639\u0645\u0648\u062f \u0627\u0632 \u06cc\u06a9 \u0646\u0642\u0637\u0647 \u062f\u0644\u062e\u0648\u0627\u0647 \u0628\u0631 \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 \u062f\u0631 \u062f\u0627\u062e\u0644 \u0627\u0644\u0645\u0627\u0646 \u0645\u0648\u0631\u062f \u0646\u0638\u0631 \u062f\u0631 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u0628\u0627\u0634\u062f\u060c \u0641\u0627\u0635\u0644\u0647 \u0645\u062d\u0627\u0633\u0628\u0647 \u0634\u062f\u0647 \u0627\u06cc\u0646 \u062e\u0637 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0641\u0627\u0635\u0644\u0647 \u062a\u0627 \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 \u062f\u0631 \u0646\u0638\u0631 \u06af\u0631\u0641\u062a\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f (\u0634\u06a9\u0644-13).<\/span><\/p>\r\n

\u0628- \u0627\u06af\u0631 \u062e\u0637 \u0639\u0645\u0648\u062f \u0627\u0632 \u06cc\u06a9 \u0646\u0642\u0637\u0647 \u062f\u0644\u062e\u0648\u0627\u0647 \u0628\u0631 \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 \u062e\u0627\u0631\u062c \u0627\u0632 \u0627\u0644\u0645\u0627\u0646 \u0645\u0648\u0631\u062f \u0646\u0638\u0631 \u062f\u0631 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u0628\u0627\u0634\u062f\u060c \u0622\u0646\u06af\u0627\u0647 \u06a9\u0645\u062a\u0631\u06cc\u0646 \u0641\u0627\u0635\u0644\u0647 \u0627\u0632 \u0627\u06cc\u0646 \u0646\u0642\u0637\u0647 \u062f\u0644\u062e\u0648\u0627\u0647 \u062a\u0627 \u0646\u0642\u0627\u0637 \u0627\u0646\u062a\u0647\u0627\u06cc\u06cc \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 \u062f\u0631 \u0627\u0644\u0645\u0627\u0646 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0641\u0627\u0635\u0644\u0647 \u0646\u0642\u0637\u0647 \u062a\u0627 \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 \u062f\u0631 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u0627\u0644\u0645\u0627\u0646 \u0645\u0648\u0631\u062f \u0646\u0638\u0631 \u062f\u0631 \u0646\u0638\u0631 \u06af\u0631\u0641\u062a\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/p>\r\n

2- \u062a\u0645\u0627\u0645 \u0641\u0648\u0627\u0635\u0644 \u0645\u0645\u06a9\u0646 \u0631\u0627 \u0627\u0632 \u0646\u0642\u0637\u0647 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u062a\u0627 \u062a\u0645\u0627\u0645 \u0628\u062e\u0634\u200c\u0647\u0627\u06cc \u0628\u0631\u0634 \u062c\u0628\u0647\u0647 \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 \u0628\u0647 \u062d\u062f\u0627\u0642\u0644 \u0628\u0631\u0633\u0627\u0646\u06cc\u062f \u062a\u0627 \u0641\u0627\u0635\u0644\u0647 \u0646\u0642\u0637\u0647 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u062a\u0627 \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 \u0631\u0627 \u0645\u0634\u062e\u0635 \u06a9\u0646\u06cc\u062f. \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0627\u06cc\u0646 \u0641\u0648\u0627\u0635\u0644 \u0628\u0631\u0627\u06cc \u062d\u062f\u0633 \u0627\u0648\u0644\u06cc\u0647 \u0645\u062c\u062f\u062f \u062a\u0627\u0628\u0639 \u062a\u0646\u0638\u06cc\u0645 \u0633\u0637\u062d \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/p>\r\n

\"\u062a\u062c\u062f\u06cc\u062f<\/p>\r\n

\u0634\u06a9\u0644-13 \u0641\u0627\u0635\u0644\u0647 \u06cc\u06a9 \u0646\u0642\u0637\u0647 \u062a\u0627 \u0627\u06cc\u0646\u062a\u0631\u0641\u06cc\u0633 \u062f\u0631 \u06cc\u06a9 \u0627\u0644\u0645\u0627\u0646 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc.<\/span><\/strong><\/h6>\r\n

\u0645\u062d\u062f\u0648\u062f\u06cc\u062a\u200c\u0647\u0627<\/strong><\/span><\/h3>\r\n

1- \u0627\u062c\u0631\u0627\u06cc \u0627\u06cc\u0646 \u0645\u062f\u0644 \u062a\u0646\u0647\u0627 \u0628\u0631\u0627\u06cc \u062c\u0631\u06cc\u0627\u0646\u200c\u0647\u0627\u06cc \u062f\u0648 \u0641\u0627\u0632\u06cc \u063a\u06cc\u0631 \u0642\u0627\u0628\u0644 \u0646\u0641\u0648\u0630 \u062f\u0631 \u0647\u0645 \u0642\u0627\u0628\u0644 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0633\u062a.<\/span><\/p>\r\n

2- \u0645\u062f\u0644 \u062a\u0646\u0638\u06cc\u0645 \u0633\u0637\u062d \u062a\u0646\u0647\u0627 \u0632\u0645\u0627\u0646\u06cc \u0642\u0627\u0628\u0644 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0633\u062a \u06a9\u0647 \u0645\u062f\u0644 VOF \u0641\u0639\u0627\u0644 \u0628\u0627\u0634\u062f.<\/span><\/p>\r\n

3- \u0627\u0646\u062a\u0642\u0627\u0644 \u062c\u0631\u0645 \u0628\u06cc\u0646 \u0641\u0627\u0632\u06cc \u0628\u0627 \u0627\u06cc\u0646 \u0645\u062f\u0644 \u0633\u0627\u0632\u06af\u0627\u0631 \u0646\u06cc\u0633\u062a.<\/span><\/p>\r\n

4- \u0634\u0628\u06a9\u0647\u200c\u0647\u0627\u06cc \u0633\u0627\u0632\u06af\u0627\u0631 \u0628\u0627 \u0627\u06cc\u0646 \u0645\u062f\u0644 \u062a\u0646\u0647\u0627 \u0628\u0647 \u0634\u0628\u06a9\u0647\u200c\u0647\u0627\u06cc \u0645\u062a\u0634\u06a9\u0644 \u0627\u0632 \u0627\u0644\u0645\u0627\u0646\u200c\u0647\u0627\u06cc \u0633\u0647 \u0636\u0644\u0639\u06cc\u060c \u0686\u0647\u0627\u0631 \u0636\u0644\u0639\u06cc \u0648 \u06cc\u0627 \u062a\u0631\u06a9\u06cc\u0628\u06cc \u0627\u0632 \u0622\u0646\u200c\u0647\u0627 \u062f\u0631 \u062f\u0648 \u0628\u0639\u062f \u0648 \u0634\u0628\u06a9\u0647\u200c\u0647\u0627\u06cc \u0645\u062a\u0634\u06a9\u0644 \u0627\u0632 \u0627\u0644\u0645\u0627\u0646\u200c\u0647\u0627\u06cc \u0634\u0634 \u0648\u062c\u0647\u06cc\u060c \u0686\u0647\u0627\u0631 \u0648\u062c\u0647\u06cc \u0648 \u06cc\u0627 \u062a\u0631\u06a9\u06cc\u0628\u06cc \u0627\u0632 \u0622\u0646\u200c\u0647\u0627 \u062f\u0631 \u0633\u0647 \u0628\u0639\u062f\u060c \u0645\u062d\u062f\u0648\u062f \u0645\u06cc\u200c\u0634\u0648\u0646\u062f.<\/span><\/p>\r\n

5- \u0634\u0631\u0627\u06cc\u0637 \u0645\u0631\u0632\u06cc \u067e\u0631\u06cc\u0648\u062f\u06cc\u06a9 (\u0645\u062a\u0646\u0627\u0648\u0628) \u0628\u0627 \u0627\u06cc\u0646 \u0645\u062f\u0644 \u0633\u0627\u0632\u06af\u0627\u0631 \u0646\u06cc\u0633\u062a.<\/span><\/p>\r\n

\u00a0<\/p>\r\n

:[1]<\/strong><\/span><\/p>\r\n

S. Osher and J. A. Sethian,. “Fronts Propagating with Curvature-dependent Speed: Algorithms <\/span>Based on Hamilton-Jacobi Formulations”. J. Comput. Phys<\/em>. 79. 12\u201349. 1988.<\/span><\/strong><\/p>\r\n

\u00a0<\/p>\r\n

 <\/p>\r\n

\u0628\u0627\u0632\u06af\u0634\u062a<\/strong><\/span><\/a><\/p>\r\n\r\n\r\n\r\n

\u0645\u0637\u0627\u0644\u0628 \u0645\u0631\u062a\u0628\u0637<\/strong><\/p>\r\n\r\n\r\n\r\n

\u062d\u0644 \u0645\u06cc\u062f\u0627\u0646\u200c\u0647\u0627\u06cc \u062c\u0631\u06cc\u0627\u0646\u200c\u0647\u0627\u06cc \u0686\u0646\u062f \u0641\u0627\u0632\u06cc \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0646\u0631\u0645 \u0627\u0641\u0632\u0627\u0631\u0647\u0627\u06cc CFD<\/a><\/strong><\/span><\/p>\r\n

\r\n\r\n<\/span><\/p>\r\n

\u0645\u062f\u0644\u0633\u0627\u0632\u06cc \u062c\u0631\u06cc\u0627\u0646 \u0686\u0646\u062f\u0641\u0627\u0632\u06cc \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0631\u0648\u0634 Mixture<\/a><\/strong><\/span><\/p>\r\n

\r\n\r\n<\/span><\/p>\r\n

\u0645\u062f\u0644\u0633\u0627\u0632\u06cc \u062c\u0631\u06cc\u0627\u0646 \u0686\u0646\u062f\u0641\u0627\u0632\u06cc \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0631\u0648\u0634 Eulerian<\/a><\/strong><\/span><\/p>\r\n

\r\n\r\n<\/span><\/p>\r\n

\u0645\u062f\u0644 \u0641\u0627\u0632 \u06af\u0633\u0633\u062a\u0647 (Discrete Phase Model (DPM<\/strong><\/a><\/span><\/p>\r\n

\r\n\r\n<\/span><\/p>\r\n

\u0628\u0631\u0627\u06cc \u06a9\u0633\u0628 \u0627\u0637\u0644\u0627\u0639\u0627\u062a \u0628\u06cc\u0634\u062a\u0631 \u0628\u0627 \u0645\u0627 \u062a\u0645\u0627\u0633 \u0628\u06af\u06cc\u0631\u06cc\u062f<\/strong><\/a><\/em><\/span><\/p>\r\n

\r\n\r\n<\/span><\/p>\r\n

\u0645\u062d\u0645\u062f\u0631\u0636\u0627 \u06a9\u0644\u06cc\u0686<\/em><\/strong><\/span><\/p>\r\n

Ansys Inc<\/strong><\/a><\/span><\/h4>\r\n

 <\/p>","protected":false},"excerpt":{"rendered":"

\u0645\u062f\u0644 \u06a9\u0648\u067e\u0644\u06cc\u0646\u06af VOF \u0648 Level-Set Coupled Level-Set and VOF Model \u0645\u062f\u0644 \u06a9\u0648\u067e\u0644\u06cc\u0646\u06af VOF \u0648 Level-Set \u062a\u0631\u06a9\u06cc\u0628 \u0645\u062f\u0644\u200c\u0647\u0627\u06cc \u062a\u0646\u0638\u06cc\u0645 \u0633\u0637\u062d (Level-Set) \u0648 \u06a9\u0633\u0631 \u062d\u062c\u0645\u06cc (VOF) \u0645\u06cc\u200c\u0628\u0627\u0634\u062f. \u0645\u062f\u0644 \u062a\u0646\u0638\u06cc\u0645 \u0633\u0637\u062d (Level Set) \u06cc\u06a9 \u0631\u0648\u0634 \u0631\u0635\u062f \u0641\u0635\u0644 \u0645\u0634\u062a\u0631\u06a9 \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u062c\u0631\u06cc\u0627\u0646 \u062f\u0648\u0641\u0627\u0632 \u0628\u0627… Read More<\/a><\/p>\n","protected":false},"author":1,"featured_media":13867,"parent":4874,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-13860","page","type-page","status-publish","has-post-thumbnail","hentry"],"yoast_head":"\n\u0645\u062f\u0644 \u06a9\u0648\u067e\u0644\u06cc\u0646\u06af VOF \u0648 Level-Set - cfd-mrk<\/title>\n<meta name=\"description\" content=\"\u0645\u062f\u0644 \u06a9\u0648\u067e\u0644\u06cc\u0646\u06af VOF \u0648 Level-Set \u062a\u0631\u06a9\u06cc\u0628 \u0645\u062f\u0644\u200c\u0647\u0627\u06cc \u062a\u0646\u0638\u06cc\u0645 \u0633\u0637\u062d (Level-Set) \u0648 \u06a9\u0633\u0631 \u062d\u062c\u0645\u06cc (VOF) \u0645\u06cc\u200c\u0628\u0627\u0634\u062f. \u0645\u062f\u0644 \u062a\u0646\u0638\u06cc\u0645 \u0633\u0637\u062d (Level Set) \u06cc\u06a9 \u0631\u0648\u0634 \u0631\u0635\u062f \u0641\u0635\u0644 ...\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/cfd-mrk.ir\/index.php\/training\/flow-analysis\/fundamentals-of-cfd\/volume-of-fluid\/coupled-level-set-and-vof-model\/\" \/>\n<meta property=\"og:locale\" content=\"fa_IR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0645\u062f\u0644 \u06a9\u0648\u067e\u0644\u06cc\u0646\u06af VOF \u0648 Level-Set - cfd-mrk\" \/>\n<meta property=\"og:description\" content=\"\u0645\u062f\u0644 \u06a9\u0648\u067e\u0644\u06cc\u0646\u06af VOF \u0648 Level-Set \u062a\u0631\u06a9\u06cc\u0628 \u0645\u062f\u0644\u200c\u0647\u0627\u06cc \u062a\u0646\u0638\u06cc\u0645 \u0633\u0637\u062d (Level-Set) \u0648 \u06a9\u0633\u0631 \u062d\u062c\u0645\u06cc (VOF) \u0645\u06cc\u200c\u0628\u0627\u0634\u062f. \u0645\u062f\u0644 \u062a\u0646\u0638\u06cc\u0645 \u0633\u0637\u062d (Level Set) \u06cc\u06a9 \u0631\u0648\u0634 \u0631\u0635\u062f \u0641\u0635\u0644 ...\" \/>\n<meta property=\"og:url\" content=\"https:\/\/cfd-mrk.ir\/index.php\/training\/flow-analysis\/fundamentals-of-cfd\/volume-of-fluid\/coupled-level-set-and-vof-model\/\" \/>\n<meta property=\"og:site_name\" content=\"cfd-mrk\" \/>\n<meta property=\"article:modified_time\" content=\"2024-05-07T09:25:59+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2024\/05\/VOF-Interface.png\" \/>\n\t<meta property=\"og:image:width\" content=\"406\" \/>\n\t<meta property=\"og:image:height\" content=\"508\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u0632\u0645\u0627\u0646 \u062a\u0642\u0631\u06cc\u0628\u06cc \u0628\u0631\u0627\u06cc \u062e\u0648\u0627\u0646\u062f\u0646\" \/>\n\t<meta name=\"twitter:data1\" content=\"8 \u062f\u0642\u06cc\u0642\u0647\" \/>\n<script type=\"application\/ld+json\" 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