{"id":13127,"date":"2022-05-18T09:30:42","date_gmt":"2022-05-18T06:00:42","guid":{"rendered":"https:\/\/cfd-mrk.ir\/?page_id=13127"},"modified":"2022-05-21T16:33:46","modified_gmt":"2022-05-21T13:03:46","slug":"bubbly-unstructured-meshing","status":"publish","type":"page","link":"https:\/\/cfd-mrk.ir\/index.php\/training\/grid-generation\/fundamentals-of-grid-generation\/face-meshing\/unstructured-grid-generation\/bubbly-unstructured-meshing\/","title":{"rendered":"\u0634\u0628\u06a9\u0647 \u0628\u0646\u062f\u06cc \u0628\u06cc \u0633\u0627\u0632\u0645\u0627\u0646 \u062d\u0628\u0627\u0628\u06cc (Bubbly)"},"content":{"rendered":"

\u0634\u0628\u06a9\u0647 \u0628\u0646\u062f\u06cc \u0628\u06cc \u0633\u0627\u0632\u0645\u0627\u0646 \u062d\u0628\u0627\u0628\u06cc (Bubbly)<\/strong><\/span><\/h2>\n

Bubbly Unstructured Grid Generation<\/strong><\/span><\/h2>\n

\u0634\u0628\u06a9\u0647 \u0628\u0646\u062f\u06cc \u0628\u06cc \u0633\u0627\u0632\u0645\u0627\u0646 \u062d\u0628\u0627\u0628\u06cc (Bubbly) \u06cc\u06a9 \u0631\u0648\u0634 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u062c\u062f\u06cc\u062f \u0628\u0631\u0627\u06cc \u062a\u0648\u0644\u06cc\u062f \u0627\u0644\u0645\u0627\u0646\u200c\u0647\u0627\u06cc \u0686\u0647\u0627\u0631 \u0648\u062c\u0647\u06cc \u063a\u06cc\u0631 \u0647\u0645\u06af\u0646 (Anisotropic) \u067e\u06cc\u0634\u0646\u0647\u0627\u062f \u0645\u06cc\u200c\u06a9\u0646\u062f \u06a9\u0647 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u0634\u06a9\u0644 \u0627\u0644\u0645\u0627\u0646\u200c\u0647\u0627 \u0631\u0627 \u0628\u0627 \u06cc\u06a9 \u062a\u0627\u0628\u0639 \u0646\u0627\u0647\u0645\u06af\u0648\u0646 \u06a9\u0646\u062a\u0631\u0644 \u06a9\u0631\u062f\u0647 \u0648 \u0647\u0645\u0686\u0646\u06cc\u0646 \u0627\u0632 \u062a\u0648\u0644\u06cc\u062f \u0627\u0644\u0645\u0627\u0646\u200c\u0647\u0627\u06cc \u0628\u062f (\u06a9\u06cc\u0641\u06cc\u062a \u067e\u0627\u06cc\u06cc\u0646) \u0646\u0627\u0634\u06cc \u0627\u0632 \u062a\u0648\u0632\u06cc\u0639 \u0646\u0627\u0645\u0646\u0627\u0633\u0628 \u0646\u0642\u0627\u0637 \u067e\u0631\u0647\u06cc\u0632 \u06a9\u0646\u062f. \u062f\u0631 \u0627\u06cc\u0646 \u0631\u0648\u0634 \u0634\u0628\u06a9\u0647 \u0628\u0646\u062f\u06cc \u0633\u0644\u0648\u0644\u200c\u0647\u0627\u06cc \u0686\u0647\u0627\u0631 \u0648\u062c\u0647\u06cc \u0637\u06cc \u062f\u0648 \u0645\u0631\u062d\u0644\u0647 \u062a\u0648\u0644\u06cc\u062f \u0645\u06cc\u200c\u0634\u0648\u0646\u062f.<\/span><\/p>\n

\u0627\u0628\u062a\u062f\u0627 \u0645\u06a9\u0627\u0646\u200c\u0647\u0627\u06cc \u0646\u0642\u0627\u0637 \u0628\u0631\u0627\u0633\u0627\u0633 \u0634\u0628\u06cc\u0647 \u0633\u0627\u0632\u06cc \u0630\u0631\u0627\u062a \u0645\u0628\u062a\u0646\u06cc \u0628\u0631 \u0641\u06cc\u0632\u06cc\u06a9 (Physically-Based Particle Simulation) \u06a9\u0647 \u0628\u0647 \u0628\u0633\u062a\u0647 \u0628\u0646\u062f\u06cc \u062d\u0628\u0627\u0628\u06cc (Bubble Packing) \u0645\u0639\u0631\u0648\u0641 \u0627\u0633\u062a\u060c \u062a\u0639\u06cc\u06cc\u0646 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f. \u062d\u0628\u0627\u0628\u200c\u0647\u0627\u06cc \u0628\u06cc\u0636\u0648\u06cc \u0631\u0648\u06cc \u0645\u0631\u0632\u0647\u0627 \u0648 \u062f\u0631 \u062f\u0627\u062e\u0644 \u0642\u0644\u0645\u0631\u0648 \u0641\u06cc\u0632\u06cc\u06a9\u06cc \u0628\u0633\u062a\u0647 \u0628\u0646\u062f\u06cc \u0634\u062f\u0647 \u0648 \u06af\u0631\u0647\u200c\u0647\u0627\u06cc (\u0646\u0648\u062f\u0647\u0627\u06cc) \u0634\u0628\u06a9\u0647 \u062f\u0631 \u0645\u0631\u06a9\u0632 \u0622\u0646 \u0642\u0631\u0627\u0631 \u0645\u06cc\u200c\u06af\u06cc\u0631\u0646\u062f. \u067e\u0633 \u0627\u0632 \u062a\u0648\u0644\u06cc\u062f\u060c \u06af\u0631\u0647\u200c\u0647\u0627 \u0628\u0627 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641\u06cc \u0627\u0632 \u062c\u0645\u0644\u0647 \u0631\u0648\u0634 \u062f\u0644\u0627\u0646\u06cc \u0628\u0647 \u06cc\u06a9 \u062f\u06cc\u06af\u0631 \u0645\u062a\u0635\u0644 \u0634\u062f\u0647 \u0648 \u0627\u0644\u0645\u0627\u0646\u200c\u0647\u0627\u06cc \u0686\u0647\u0627\u0631 \u0648\u062c\u0647\u06cc \u0631\u0627 \u0627\u06cc\u062c\u0627\u062f \u0645\u06cc\u200c\u06a9\u0646\u0646\u062f.<\/span><\/p>\n

\u0627\u06cc\u0646 \u0631\u0648\u0634 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u06cc\u06a9 \u0634\u0628\u06a9\u0647 \u0646\u0627\u0647\u0645\u06af\u0648\u0646 \u0628\u0627 \u06a9\u06cc\u0641\u06cc\u062a \u0645\u0646\u0627\u0633\u0628 \u062a\u0648\u0644\u06cc\u062f \u06a9\u0646\u062f \u06a9\u0647 \u0628\u0647 \u062e\u0648\u0628\u06cc \u0628\u0627 \u0648\u0631\u0648\u062f\u06cc \u0646\u0627\u0647\u0645\u06af\u0648\u0646 \u0645\u0637\u0627\u0628\u0642\u062a \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u062f. \u0628\u0631\u0627\u06cc \u062f\u0631\u06a9 \u0628\u0647\u062a\u0631 \u0627\u0628\u062a\u062f\u0627 \u0646\u0627\u0647\u0645\u06af\u0648\u0646\u06cc (Anisotropy) \u0648 \u0633\u067e\u0633 \u0645\u0631\u0627\u062d\u0644 \u062a\u0648\u0644\u06cc\u062f \u0634\u0628\u06a9\u0647 \u0628\u0647 \u0631\u0648\u0634 \u0628\u0633\u062a\u0647 \u0628\u0646\u062f\u06cc \u062d\u0628\u0627\u0628\u06cc \u062a\u0648\u0636\u06cc\u062d \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a.<\/span><\/p>\n

 <\/p>\n

\u062a\u0639\u0631\u06cc\u0641 \u0646\u0627\u0647\u0645\u06af\u0648\u0646\u06cc (Anisotropy)<\/strong><\/span><\/h3>\n

\u06cc\u06a9 \u0646\u0627\u0647\u0645\u06af\u0648\u0646\u06cc \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0633\u0647 \u062c\u0647\u062a \u0627\u0635\u0644\u06cc \u0648 \u0646\u0633\u0628\u062a \u0645\u0646\u0638\u0631\u06cc (Aspect Ratio) \u0628\u0631\u0627\u06cc \u0647\u0631 \u062c\u0647\u062a \u062a\u0639\u0631\u06cc\u0641 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0633\u0647 \u0628\u0631\u062f\u0627\u0631 \u0648\u0627\u062d\u062f \u0639\u0645\u0648\u062f \u0628\u0631\u0647\u0645 u\u060c v \u0648 w \u0646\u0645\u0627\u06cc\u0627\u0646\u06af\u0631 \u0627\u06cc\u0646 \u0633\u0647 \u062c\u0647\u062a \u0647\u0633\u062a\u0646\u062f. \u0627\u06cc\u0646 \u062c\u0647\u062a\u200c\u0647\u0627 \u0645\u06cc\u0632\u0627\u0646 \u06a9\u0634\u06cc\u062f\u06af\u06cc \u0627\u0644\u0645\u0627\u0646\u200c\u0647\u0627\u06cc \u0634\u0628\u06a9\u0647 \u0645\u062d\u06cc\u0637 \u0628\u0631 \u062d\u0628\u0627\u0628\u200c\u0647\u0627 \u0631\u0627 \u06a9\u0646\u062a\u0631\u0644 \u0645\u06cc\u200c\u06a9\u0646\u0646\u062f \u0648 \u062f\u0631 \u0642\u0627\u0644\u0628 \u062f\u0648 \u0645\u0627\u062a\u0631\u06cc\u0633 S \u0648 R \u0628\u06cc\u0627\u0646 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f [1].<\/span><\/p>\n

\u062f\u0631 \u0627\u06cc\u0646 \u0645\u062a\u062f \u0634\u0628\u06a9\u0647 \u0628\u0646\u062f\u06cc \u06cc\u06a9 \u062d\u0628\u0627\u0628 \u06a9\u0631\u0648\u06cc \u0634\u06a9\u0644 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0645\u0627\u062a\u0631\u06cc\u0633 \u0627\u0646\u062a\u0642\u0627\u0644 Q \u0628\u0647 \u06cc\u06a9 \u062d\u0628\u0627\u0628 \u0628\u06cc\u0636\u06cc \u0634\u06a9\u0644 \u062a\u0628\u062f\u06cc \u0645\u06cc\u200c\u0634\u0648\u062f [1] \u06a9\u0647 \u062f\u0631 \u0634\u06a9\u0644-1 \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a. \u062f\u0631 \u0648\u0627\u0642\u0639 \u0628\u062e\u0627\u0637\u0631 \u0686\u06cc\u062f\u0647\u200c\u0645\u0627\u0646 \u0645\u062a\u0646\u0648\u0639\u200c\u062a\u0631 \u0648 \u062a\u0631\u0627\u06a9\u0645 \u0645\u0646\u0627\u0633\u0628\u200c\u062a\u0631 \u0627\u0633\u062a \u06a9\u0647 \u062d\u0628\u0627\u0628\u200c\u0647\u0627 \u0627\u0632 \u062d\u0627\u0644\u062a \u06a9\u0631\u0647 \u0628\u0647 \u0628\u06cc\u0636\u06cc\u06af\u0648\u0646 \u062a\u0628\u062f\u06cc\u0644 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f.<\/span><\/p>\n

\"\u062a\u0639\u0631\u06cc\u0641<\/p>\n

\u0634\u06a9\u0644-1 \u062a\u0639\u0631\u06cc\u0641 \u062d\u0628\u0627\u0628 \u0628\u06cc\u0636\u06cc \u0634\u06a9\u0644 \u0648 \u0627\u0644\u0645\u0627\u0646 \u063a\u06cc\u0631 \u0647\u0645\u06af\u0646 [1].<\/strong><\/span><\/h6>\n

 <\/p>\n

\u0641\u0631\u0627\u06cc\u0646\u062f \u0634\u0628\u06a9\u0647 \u0628\u0646\u062f\u06cc \u0628\u06cc \u0633\u0627\u0632\u0645\u0627\u0646 Bubbly<\/strong><\/span><\/h3>\n

\u067e\u0633 \u0627\u0632 \u0645\u062f\u0644\u0633\u0627\u0632\u06cc \u0647\u0646\u062f\u06cc \u06cc\u0627 \u0647\u0645\u0627\u0646 \u062a\u0639\u0631\u06cc\u0641 \u0647\u0646\u062f\u0633\u06cc \u0645\u0631\u0632\u0647\u0627\u06cc \u0645\u0633\u0626\u0644\u0647\u060c \u0634\u0628\u06a9\u0647 \u0628\u0646\u062f\u06cc \u0628\u06cc \u0633\u0627\u0632\u0645\u0627\u0646 \u0628\u0647 \u0631\u0648\u0634 \u0628\u0633\u062a\u0647 \u0628\u0646\u062f\u06cc \u062d\u0628\u0627\u0628\u200c\u0647\u0627 \u062f\u0631 \u062f\u0648 \u0645\u0631\u062d\u0644\u0647 \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0645\u0631\u062d\u0644\u0647 \u0627\u0648\u0644 \u062a\u0648\u0644\u06cc\u062f \u0648 \u062a\u0648\u0632\u06cc\u0639 \u0646\u0642\u0627\u0637 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0628\u0633\u062a\u0647 \u0628\u0646\u062f\u06cc \u062d\u0628\u0627\u0628\u200c\u0647\u0627\u0633\u062a \u0648 \u0645\u0631\u062d\u0644\u0647 \u062f\u0648\u0645 \u0628\u0647 \u062a\u0648\u0644\u06cc\u062f \u0627\u0644\u0645\u0627\u0646\u200c\u0647\u0627 \u0628\u0631\u0627\u0633\u0627\u0633 \u0646\u0642\u0627\u0637 \u0645\u0631\u06a9\u0632 \u062d\u0628\u0627\u0628\u200c\u0647\u0627 \u0627\u062e\u062a\u0635\u0627\u0635 \u062f\u0627\u0631\u062f.<\/span><\/p>\n

 <\/p>\n

\u062a\u0648\u0644\u06cc\u062f \u0648 \u062a\u0648\u0632\u06cc\u0639 \u0646\u0642\u0627\u0637 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0628\u0633\u062a\u0647 \u0628\u0646\u062f\u06cc \u062d\u0628\u0627\u0628\u200c\u0647\u0627<\/strong><\/span><\/h4>\n

\u0627\u06cc\u0646 \u0645\u0631\u062d\u0644\u0647 \u0627\u0632 \u0633\u0647 \u0641\u0639\u0627\u0644\u06cc\u062a \u0627\u0635\u0644\u06cc \u0628\u0633\u062a\u0647\u200c\u0628\u0646\u062f\u06cc \u062d\u0628\u0627\u0628\u200c\u0647\u0627\u060c \u0645\u062d\u0627\u0633\u0628\u0647 \u062d\u0631\u06a9\u062a \u062d\u0628\u0627\u0628\u200c\u0647\u0627 \u0648 \u06a9\u0646\u062a\u0631\u0644 \u062c\u0645\u0639\u06cc\u062a (Population Control<\/em>) \u062d\u0628\u0627\u0628\u200c\u0647\u0627 \u062a\u0634\u06a9\u0644\u06cc\u0644 \u0645\u06cc\u200c\u0634\u0648\u062f \u06a9\u0647 \u062f\u0631 \u0627\u062f\u0627\u0645\u0647 \u0645\u0639\u0631\u0641\u06cc \u0645\u06cc\u200c\u0634\u0648\u0646\u062f.<\/span><\/p>\n

\u0627\u0644\u0641- \u0628\u0633\u062a\u0647 \u0628\u0646\u062f\u06cc \u062d\u0628\u0627\u0628\u200c\u0647\u0627<\/strong><\/span><\/h5>\n

\u062f\u0631 \u0628\u0633\u062a\u0647 \u0628\u0646\u062f\u06cc \u062d\u0628\u0627\u0628\u200c\u0647\u0627 \u0628\u0627\u06cc\u062f \u0628\u0647 \u062a\u0631\u062a\u06cc\u0628 \u0632\u06cc\u0631 \u0639\u0645\u0644 \u06a9\u0646\u06cc\u062f:<\/span><\/p>\n

1- \u0642\u0631\u0627\u0631 \u062f\u0627\u062f\u0646 \u062d\u0628\u0627\u0628\u200c\u0647\u0627 \u0631\u0648\u06cc \u0646\u0642\u0627\u0637 (\u0631\u0626\u0648\u0633) \u0645\u062f\u0644 \u0647\u0646\u062f\u0633\u06cc<\/span><\/strong><\/p>\n

2- \u0628\u0633\u062a\u0647 \u0628\u0646\u062f\u06cc \u062d\u0628\u0627\u0628\u200c\u0647\u0627 \u0631\u0648\u06cc \u062e\u0637\u0648\u0637 (\u0644\u0628\u0647\u200c\u0647\u0627\u06cc) \u0645\u062f\u0644 \u0647\u0646\u062f\u0633\u06cc<\/span><\/strong><\/p>\n

3- \u0628\u0633\u062a\u0647 \u0628\u0646\u062f\u06cc \u062d\u0628\u0627\u0628\u200c\u0647\u0627 \u0631\u0648\u06cc \u0635\u0641\u062d\u0627\u062a (\u0633\u0637\u0648\u062d) \u0645\u062f\u0644 \u0647\u0646\u062f\u0633\u06cc<\/span><\/strong><\/p>\n

4- \u0628\u0633\u062a\u0647 \u0628\u0646\u062f\u06cc \u062d\u0628\u0627\u0628\u200c\u0647\u0627 \u062f\u0627\u062e\u0644 \u062d\u062c\u0645 \u0645\u062f\u0644 \u0647\u0646\u062f\u0633\u06cc<\/span><\/strong><\/p>\n

\u0628\u0647 \u0637\u0648\u0631 \u06a9\u0644\u06cc \u062f\u0631 \u0645\u0631\u0627\u062d\u0644 2 \u062a\u0627 4 \u0628\u0627\u0644\u0627 \u062d\u0628\u0627\u0628\u200c\u0647\u0627 \u062a\u0648\u0644\u06cc\u062f \u0648 \u062a\u0627 \u0631\u0633\u06cc\u062f\u0646 \u0628\u0647 \u062d\u0627\u0644\u062a \u06a9\u0627\u0645\u0644\u0627 \u067e\u0627\u06cc\u062f\u0627\u0631 \u062c\u0627\u0628\u062c\u0627 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f. \u0628\u0627\u06cc\u062f \u062a\u0648\u062c\u0647 \u062f\u0627\u0634\u062a \u062f\u0644\u06cc\u0644 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u062d\u0628\u0627\u0628\u200c\u0647\u0627\u06cc \u0628\u06cc\u0636\u06cc\u06af\u0648\u0646 \u0628\u0647 \u062a\u0648\u0627\u0646\u0645\u0646\u062f\u06cc \u0622\u0646\u200c\u0647\u0627 \u062f\u0631 \u0627\u06cc\u062c\u0627\u062f \u0648 \u062a\u0648\u0632\u06cc\u0639 \u063a\u06cc\u0631 \u0647\u0645\u06af\u0646 \u0646\u0642\u0627\u0637 \u0631\u0628\u0637 \u062f\u0627\u0631\u062f. \u0646\u06a9\u062a\u0647 \u062f\u06cc\u06af\u0631 \u0627\u06cc\u0646\u06a9\u0647 \u062c\u0647\u062a \u06a9\u0634\u06cc\u062f\u06af\u06cc \u062d\u0628\u0627\u0628\u200c\u0647\u0627\u06cc \u0628\u06cc\u0636\u0648\u06cc \u062a\u0639\u0631\u06cc\u0641 \u0634\u062f\u0647 \u0631\u06cc \u0631\u0626\u0648\u0633 \u0645\u062f\u0644 \u0647\u0646\u062f\u0633\u06cc \u062f\u0631 \u062c\u0647\u062a\u200c\u06af\u06cc\u0631\u06cc \u062d\u0628\u0627\u0628\u200c\u0647\u0627 (\u0648 \u062f\u0631 \u0646\u062a\u06cc\u062c\u0647 \u062a\u0631\u0627\u06a9\u0645 \u0646\u0642\u0627\u0637 \u0634\u0628\u06a9\u0647) \u0631\u0648\u06cc \u062e\u0637\u0648\u0637\u060c \u0635\u0641\u062d\u0627\u062a \u0648 \u0647\u0645\u0686\u0646\u06cc\u0646 \u062f\u0627\u062e\u0644 \u062d\u062c\u0645 \u0645\u062f\u0644 \u062a\u0623\u062b\u06cc\u0631 \u0645\u0633\u062a\u0642\u06cc\u0645 \u062f\u0627\u0631\u062f (\u0634\u06a9\u0644-2).<\/span><\/p>\n

\"\u0645\u0631\u0627\u062d\u0644<\/p>\n

\u0634\u06a9\u0644-2: \u0645\u0631\u0627\u062d\u0644 \u0628\u0633\u062a\u0647 \u0628\u0646\u062f\u06cc \u062d\u0628\u0627\u0628\u200c\u0647\u0627 \u062f\u0631 \u0645\u062f\u0644 \u0647\u0646\u062f\u0633\u06cc [1].<\/strong><\/span><\/h6>\n

 <\/p>\n

\u0628- \u0645\u062d\u0627\u0633\u0628\u0647 \u062d\u0631\u06a9\u062a \u062d\u0628\u0627\u0628\u200c\u0647\u0627<\/strong><\/span><\/h5>\n

\u067e\u0633 \u0627\u0632 \u062a\u0639\u06cc\u06cc\u0646 \u062a\u0639\u062f\u0627\u062f \u062d\u0628\u0627\u0628\u200c\u0647\u0627 \u062f\u0631 \u0647\u0631 \u0631\u0627\u0633\u062a\u0627\u060c \u0627\u0632 \u06cc\u06a9 \u0645\u0639\u0627\u062f\u0644\u0647 \u062d\u0631\u06a9\u062a \u062d\u0627\u06a9\u0645 \u0628\u0631 \u0631\u0641\u062a\u0627\u0631 \u062f\u06cc\u0646\u0627\u0645\u06cc\u06a9\u06cc \u062d\u0628\u0627\u0628\u200c\u0647\u0627 \u0628\u0631\u0627\u06cc \u062c\u0627\u0628\u062c\u0627\u06cc\u06cc \u0622\u0646\u200c\u0647\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0628\u0631\u0627\u06cc \u062d\u0644 \u0627\u06cc\u0646 \u0645\u0639\u0627\u062f\u0644\u0647 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0627\u0632 \u0645\u062a\u062f\u0647\u0627\u06cc \u0627\u0646\u062a\u06af\u0631\u0627\u0644\u200c\u06af\u06cc\u0631\u06cc \u0639\u062f\u062f\u06cc \u0627\u0633\u062a\u0627\u0646\u062f\u0627\u0631\u062f \u0646\u0638\u06cc\u0631 \u0627\u0648\u06cc\u0644\u0631 (Euler) \u06cc\u0627 \u0631\u0648\u0634 \u0645\u0631\u062a\u0628\u0647 \u0686\u0647\u0627\u0631\u0645 \u0631\u0627\u0646\u06af-\u06a9\u0648\u062a\u0627 (4th Order Runge-Kutta) \u0628\u0647\u0631\u0647 \u0628\u0631\u062f \u062a\u0627 \u0628\u062a\u0648\u0627\u0646 \u062d\u0631\u06a9\u062a \u062d\u0628\u0627\u0628\u200c\u0647\u0627 \u0631\u0627 \u0634\u0628\u06cc\u0647 \u0633\u0627\u0632\u06cc \u0646\u0645\u0648\u062f.<\/span><\/p>\n

\u0628\u0647 \u0645\u0646\u0638\u0648\u0631 \u0627\u0633\u062a\u062e\u0631\u0627\u062c \u0645\u0639\u0627\u062f\u0644\u0647 \u062d\u0631\u06a9\u062a\u060c \u0627\u0628\u062a\u062f\u0627 \u0646\u06cc\u0631\u0648\u200c\u0647\u0627\u06cc \u0627\u0639\u0645\u0627\u0644\u06cc \u0628\u0631 \u062d\u0628\u0627\u0628\u200c\u0647\u0627 \u0631\u0627 \u0641\u0631\u0645\u0648\u0644\u0647 \u0645\u06cc\u200c\u06a9\u0646\u06cc\u0645. \u0633\u067e\u0633 \u06cc\u06a9 \u0645\u0639\u0627\u062f\u0644\u0647 \u062f\u06cc\u0641\u0631\u0627\u0646\u0633\u06cc\u0644 \u0645\u0631\u062a\u0628\u0647 \u062f\u0648\u0645 \u0631\u0627\u00a0 \u06a9\u0647 \u0628\u0631 \u062d\u0631\u06a9\u062a \u062d\u0628\u0627\u0628\u200c\u0647\u0627 \u062d\u0627\u06a9\u0645 \u0627\u0633\u062a \u0631\u0627 \u0628\u0627 \u0627\u0636\u0627\u0641\u0647 \u06a9\u0631\u062f\u0646 \u0646\u0642\u0637\u0647 \u062c\u0631\u0645\u06cc \u0628\u0631\u0627\u06cc \u0647\u0631 \u062d\u0628\u0627\u0628 \u0648 \u0627\u062b\u0631\u0627\u062a \u0686\u0633\u0628\u0646\u062f\u06af\u06cc \u0628\u062f\u0633\u062a \u0645\u06cc\u200c\u0622\u0648\u0631\u06cc\u0645. \u06cc\u06a9\u06cc \u0627\u0632 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u0627\u0646\u062c\u0627\u0645 \u0627\u06cc\u0646 \u06a9\u0627\u0631 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0645\u062f\u0644 \u062c\u0631\u0645-\u0641\u0646\u0631-\u062f\u0645\u067e\u0631 (Mass-Spring-Damper) \u0645\u06cc\u200c\u0628\u0627\u0634\u062f \u06a9\u0647 \u0628\u0633\u06cc\u0627\u0631 \u0647\u0645 \u0645\u0648\u0631\u062f \u062a\u0648\u062c\u0647 \u0627\u0633\u062a [1].<\/span><\/p>\n

\u062c- \u06a9\u0646\u062a\u0631\u0644 \u062c\u0645\u0639\u06cc\u062a (<\/strong>Population Control<\/em><\/strong><\/span>) \u062d\u0628\u0627\u0628\u200c\u0647\u0627<\/span> <\/strong><\/span><\/h5>\n

\u06cc\u06a9\u06cc \u062f\u06cc\u06af\u0631 \u0627\u0632 \u0641\u0639\u0627\u0644\u06cc\u062a\u200c\u0647\u0627\u06cc \u0645\u0647\u0645 \u062f\u0631 \u0628\u0633\u062a\u0647 \u0628\u0646\u062f\u06cc \u062d\u0628\u0627\u0628\u200c\u0647\u0627\u060c \u0641\u0631\u0622\u06cc\u0646\u062f “\u06a9\u0646\u062a\u0631\u0644 \u062c\u0645\u0639\u06cc\u062a \u062a\u0637\u0628\u06cc\u0642\u06cc (<\/em><\/strong>Adaptive Population Control<\/em><\/strong>) \u062d\u0628\u0627\u0628\u200c\u0647\u0627”<\/em><\/strong> \u0646\u0627\u0645 \u062f\u0627\u0631\u062f \u06a9\u0647 \u0647\u062f\u0641\u0634 \u062a\u0646\u0638\u06cc\u0645 \u062a\u0639\u062f\u0627\u062f \u062d\u0628\u0627\u0628\u200c\u0647\u0627 \u0628\u0647 \u06af\u0648\u0646\u0647\u200c\u0627\u06cc \u06a9\u0647 \u0647\u06cc\u0686 \u0647\u0645\u067e\u0648\u0634\u0627\u0646\u06cc \u06cc\u0627 \u0634\u06a9\u0627\u0641 \u0642\u0627\u0628\u0644 \u062a\u0648\u062c\u0647\u06cc \u062f\u0631 \u067e\u06cc\u06a9\u0631\u0628\u0646\u062f\u06cc \u0646\u0647\u0627\u06cc\u06cc \u0622\u0646\u200c\u0647\u0627 \u0627\u06cc\u062c\u0627\u062f \u0646\u0634\u0648\u062f\u060c \u0627\u0633\u062a. \u0627\u06af\u0631 \u062a\u0639\u062f\u0627\u062f \u062d\u0628\u0627\u0628\u200c\u0647\u0627 \u062e\u06cc\u0644\u06cc \u06a9\u0645 \u0628\u0627\u0634\u062f \u0641\u0627\u0635\u0644\u0647 \u0632\u06cc\u0627\u062f\u06cc \u0628\u06cc\u0646 \u062d\u0628\u0627\u0628\u200c\u0647\u0627 \u0648\u062c\u0648\u062f \u062e\u0648\u0627\u0647\u062f \u062f\u0627\u0634\u062a \u06a9\u0647 \u062f\u0631 \u0686\u0646\u06cc\u0646 \u062d\u0627\u0644\u062a\u06cc \u062d\u0628\u0627\u0628\u200c\u0647\u0627 \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0628\u0635\u0648\u0631\u062a \u062a\u0635\u0627\u062f\u0641\u06cc \u0686\u06cc\u062f\u0645\u0627\u0646 \u0634\u0648\u0646\u062f \u0648 \u062f\u0631 \u0646\u062a\u06cc\u062c\u0647 \u06cc\u06a9 \u0634\u0628\u06a9\u0647 \u0628\u0627 \u06a9\u06cc\u0641\u06cc\u062a \u067e\u0627\u06cc\u06cc\u0646 \u062a\u0648\u0644\u06cc\u062f \u0634\u0648\u062f.<\/span><\/p>\n

\u0627\u0632 \u0637\u0631\u0641\u06cc \u0627\u06af\u0631 \u062a\u0639\u062f\u0627\u062f \u062d\u0628\u0627\u0628\u200c\u0647\u0627 \u0628\u0633\u06cc\u0627\u0631 \u0628\u0627\u0634\u0646\u062f\u060c \u0686\u06cc\u062f\u0645\u0627\u0646\u06cc \u0627\u0644\u0645\u0627\u0646\u200c\u0647\u0627\u06cc \u0686\u0647\u0627\u0631 \u0648\u062c\u0647\u06cc \u0628\u0647 \u0633\u0645\u062a \u06cc\u06a9 \u0627\u0644\u06af\u0648\u06cc \u0645\u062a\u0639\u0627\u0645\u062f \u062a\u0645\u0627\u06cc\u0644 \u067e\u06cc\u062f\u0627 \u062e\u0648\u0627\u0647\u062f \u06a9\u0631\u062f \u06a9\u0647 \u0645\u0646\u062c\u0631 \u0628\u0647 \u062a\u0634\u06a9\u06cc\u0644 \u0627\u0644\u0645\u0627\u0646\u200c\u0647\u0627\u06cc \u0686\u0647\u0627\u0631 \u0648\u062c\u0647\u06cc \u0628\u0627 \u06a9\u06cc\u0641\u06cc\u062a \u067e\u0627\u06cc\u06cc\u0646 \u0645\u06cc\u200c\u0634\u0648\u062f. \u062f\u0631 \u0646\u062a\u06cc\u062c\u0647 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0646\u062a\u06cc\u062c\u0647 \u06af\u0631\u0641\u062a \u06a9\u0647 \u0628\u0631\u0627\u06cc \u0631\u0633\u06cc\u062f\u0646 \u0628\u0647 \u062a\u0648\u0632\u06cc\u0639 \u0645\u0646\u0627\u0633\u0628 \u0646\u0642\u0627\u0637 \u0634\u0628\u06a9\u0647\u060c \u062a\u0646\u0638\u06cc\u0645 \u062a\u0639\u062f\u0627\u062f \u062d\u0628\u0627\u0628\u200c\u0647\u0627 \u0631\u0648\u06cc \u062e\u0637\u0648\u0637 \u062f\u0631 \u0637\u0648\u0644 \u0634\u0628\u06cc\u0647 \u0633\u0627\u0632\u06cc \u062f\u06cc\u0646\u0627\u0645\u06cc\u06a9\u06cc \u0627\u0632 \u0627\u0647\u0645\u06cc\u062a \u0628\u0633\u06cc\u0627\u0631 \u0628\u0631\u062e\u0648\u0631\u062f\u0627\u0631 \u0627\u0633\u062a.<\/span><\/p>\n

 <\/p>\n

\u0634\u0628\u06a9\u0647 \u0628\u0646\u062f\u06cc \u0628\u0631 \u0627\u0633\u0627\u0633 \u06af\u0631\u0647\u200c\u0647\u0627\u06cc \u0646\u0647\u0627\u06cc\u06cc \u0634\u062f\u0647<\/span><\/strong><\/h4>\n

\u067e\u0633 \u0627\u0632 \u0646\u0647\u0627\u06cc\u06cc \u0634\u062f\u0646 \u0641\u0631\u0622\u06cc\u0646\u062f\u0647\u0627\u06cc \u06a9\u0646\u062a\u0631\u0644 \u062c\u0645\u0639\u06cc\u062a \u0648 \u062c\u0627\u0628\u062c\u0627\u06cc\u06cc \u062d\u0628\u0627\u0628\u200c\u0647\u0627 \u0648 \u062f\u0631 \u0646\u062a\u06cc\u062c\u0647 \u062a\u0639\u06cc\u06cc\u0646 \u0645\u0648\u0642\u0639\u06cc\u062a \u0646\u0647\u0627\u06cc\u06cc \u0645\u0631\u0627\u06a9\u0632 \u062d\u0628\u0627\u0628\u200c\u0647\u0627\u060c \u0634\u0628\u06a9\u0647 \u0628\u0646\u062f\u06cc \u0628\u0631\u0627\u0633\u0627\u0633 \u0627\u06cc\u0646 \u0646\u0642\u0627\u0637 \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0647\u0645\u0627\u0646\u0646\u062f \u0634\u0628\u06a9\u0647 \u0628\u0646\u062f\u06cc \u062f\u0644\u0627\u0646\u06cc\u060c \u062f\u0631 \u0627\u06cc\u0646\u062c\u0627 \u0646\u06cc\u0632 \u062a\u0648\u0644\u06cc\u062f \u0634\u0628\u06a9\u0647 \u0631\u0648\u06cc \u0646\u0642\u0627\u0637 \u0645\u0631\u06a9\u0632 \u062d\u0628\u0627\u0628\u200c\u0647\u0627 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc\u06cc \u0645\u062b\u0644 \u062f\u0644\u0627\u0646\u06cc \u06cc\u0627 \u062c\u0628\u0647\u0647\u200c \u067e\u06cc\u0634 \u0631\u0648\u0646\u062f\u0647 \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc\u200c\u0634\u0648\u062f. \u062f\u0631 \u0627\u0646\u062a\u0647\u0627\u06cc \u0641\u0631\u0622\u06cc\u0646\u062f \u062a\u0648\u0644\u06cc\u062f \u0634\u0628\u06a9\u0647 \u0648 \u062f\u0631 \u0635\u0648\u0631\u062a \u0646\u06cc\u0627\u0632 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0634\u0628\u06a9\u0647 \u0631\u0627 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u062c\u0627\u0628\u062c\u0627\u06cc\u06cc (Swapping) \u06cc\u0627 \u0647\u0645\u0648\u0627\u0631\u0633\u0627\u0632\u06cc (Smoothing) \u0627\u0635\u0644\u0627\u062d \u0646\u0645\u0648\u062f.<\/span><\/p>\n

 <\/p>\n

-[1]<\/strong><\/span><\/p>\n

“Soji Yamakawa and Kenji Shimada “HIGH QUALITY ANISOTROPIC TETRAHEDRAL MESH GENERATION VIA ELLIPSOIDAL BUBBLE PACKING<\/em><\/strong><\/a><\/span><\/p>\n

 <\/p>\n

\u0628\u0627\u0632\u06af\u0634\u062a<\/span><\/strong><\/a><\/h4>\n

\u0645\u0637\u0627\u0644\u0628 \u0645\u0631\u062a\u0628\u0637<\/strong><\/h4>\n

\u0634\u0628\u06a9\u0647 \u0628\u0646\u062f\u06cc \u0628\u06cc \u0633\u0627\u0632\u0645\u0627\u0646 \u0628\u0647 \u0631\u0648\u0634 \u062f\u0644\u0627\u0646\u06cc \u0648 \u062c\u0628\u0647\u0647 \u067e\u06cc\u0634 \u0631\u0648\u0646\u062f\u0647<\/a><\/span><\/strong><\/h4>\n

\u0634\u0628\u06a9\u0647 \u0628\u0646\u062f\u06cc \u0628\u06cc \u0633\u0627\u0632\u0645\u0627\u0646 Octree<\/a><\/strong><\/span><\/h4>\n

\u062a\u0648\u0644\u06cc\u062f \u0634\u0628\u06a9\u0647 \u0628\u06cc \u0633\u0627\u0632\u0645\u0627\u0646 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0646\u0631\u0645 \u0627\u0641\u0632\u0627\u0631\u0647\u0627\u06cc Gambit\u060c Ansysy Mesh \u0648 ICEM-CFD<\/strong><\/span><\/a><\/h4>\n

<\/h4>\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><\/h5>\n
\u0645\u062d\u0645\u062f\u0631\u0636\u0627 \u06a9\u0644\u06cc\u0686<\/a><\/em><\/strong><\/span><\/h5>\n

<\/h4>\n","protected":false},"excerpt":{"rendered":"

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More<\/a><\/p>\n","protected":false},"author":1,"featured_media":13139,"parent":13008,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-13127","page","type-page","status-publish","has-post-thumbnail","hentry"],"yoast_head":"\n\u0634\u0628\u06a9\u0647 \u0628\u0646\u062f\u06cc \u0628\u06cc \u0633\u0627\u0632\u0645\u0627\u0646 \u062d\u0628\u0627\u0628\u06cc (Bubbly) - cfd-mrk<\/title>\n<meta name=\"description\" content=\"\u0634\u0628\u06a9\u0647 \u0628\u0646\u062f\u06cc \u0628\u06cc \u0633\u0627\u0632\u0645\u0627\u0646 \u062d\u0628\u0627\u0628\u06cc (Bubbly) \u06cc\u06a9 \u0631\u0648\u0634 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u062c\u062f\u06cc\u062f \u0628\u0631\u0627\u06cc \u062a\u0648\u0644\u06cc\u062f \u0627\u0644\u0645\u0627\u0646\u200c\u0647\u0627\u06cc \u0686\u0647\u0627\u0631 \u0648\u062c\u0647\u06cc \u063a\u06cc\u0631 \u0647\u0645\u06af\u0646 (Anisotropic) 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