{"id":14092,"date":"2024-09-29T14:15:33","date_gmt":"2024-09-29T10:45:33","guid":{"rendered":"https:\/\/cfd-mrk.ir\/?page_id=14092"},"modified":"2025-02-04T11:54:50","modified_gmt":"2025-02-04T08:24:50","slug":"dynamic-mesh-conservation-equations","status":"publish","type":"page","link":"https:\/\/cfd-mrk.ir\/index.php\/training\/grid-generation\/fundamentals-of-grid-generation\/dynamic-mesh\/dynamic-mesh-theory\/dynamic-mesh-conservation-equations\/","title":{"rendered":"\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0628\u0642\u0627\u0621 \u0645\u0634 \u062f\u06cc\u0646\u0627\u0645\u06cc\u06a9\u06cc"},"content":{"rendered":"

\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0628\u0642\u0627\u0621 \u0645\u0634 \u062f\u06cc\u0646\u0627\u0645\u06cc\u06a9\u06cc<\/span><\/strong><\/h2>\n

Dynamic Mesh Conservation Equations<\/span><\/strong><\/h2>\n

\u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0634\u0628\u06a9\u0647 \u062f\u06cc\u0646\u0627\u0645\u06cc\u06a9\u06cc\u060c \u0641\u0631\u0645 \u0627\u0646\u062a\u06af\u0631\u0627\u0644\u06cc \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0628\u0642\u0627\u0621 \u0645\u0634 \u062f\u06cc\u0646\u0627\u0645\u06cc\u06a9\u06cc \u0628\u0631\u0627\u06cc \u06cc\u06a9 \u06a9\u0645\u06cc\u062a \u0627\u0633\u06a9\u0627\u0644\u0631 \u06a9\u0644\u06cc\u060c \u03d5<\/em><\/strong>\u060c \u062f\u0631 \u06cc\u06a9 \u062d\u062c\u0645 \u06a9\u0646\u062a\u0631\u0644 \u062f\u0644\u062e\u0648\u0627\u0647\u060c V<\/em><\/strong>\u060c \u0628\u0647 \u0635\u0648\u0631\u062a \u0645\u0639\u0627\u062f\u0644\u0647 (1) \u0646\u0648\u0634\u062a\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/p>\n

\"\u0645\u0639\u0627\u062f\u0644\u0627\u062a<\/p>\n

\u06a9\u0647 \u03c1: \u0686\u06af\u0627\u0644\u06cc \u0633\u06cc\u0627\u0644\u060c<\/span><\/p>\n

\u016b: \u0628\u0631\u062f\u0627\u0631 \u0633\u0631\u0639\u062a \u062c\u0631\u06cc\u0627\u0646\u060c<\/span><\/p>\n

\u0628\u0631\u062f\u0627\u0631 \u016bg: \u0633\u0631\u0639\u062a \u0634\u0628\u06a9\u0647 \u062f\u0631 \u0645\u0634 \u062f\u06cc\u0646\u0627\u0645\u06cc\u06a9\u06cc<\/span><\/p>\n

\u0393<\/em><\/strong>: \u0636\u0631\u06cc\u0628 \u0627\u0646\u062a\u0634\u0627\u0631<\/span><\/p>\n

S<\/em><\/strong>\u03d5<\/em><\/strong>: \u062a\u0631\u0645 \u0686\u0634\u0645\u0647 \u03d5 <\/em><\/strong>\u0648<\/span><\/p>\n

V\u2202: \u0628\u06cc\u0627\u0646\u06af\u0631 \u0645\u0631\u0632 \u062d\u062c\u0645 \u06a9\u0646\u062a\u0631\u0644\u06cc V<\/em><\/strong> \u0645\u06cc\u200c\u0628\u0627\u0634\u062f.<\/span><\/p>\n

\u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0641\u0631\u0645\u0648\u0644\u0627\u0633\u06cc\u0648\u0646 \u06af\u0633\u0633\u062a\u0647 \u0633\u0627\u0632\u06cc \u067e\u0633\u0631\u0648 \u0645\u0631\u062a\u0628\u0647 \u0627\u0648\u0644\u060c \u062a\u0631\u0645 \u0645\u0634\u062a\u0642 \u0632\u0645\u0627\u0646\u06cc \u0645\u0639\u0627\u062f\u0644\u0647 (1) \u0628\u0647 \u0635\u0648\u0631\u062a \u0645\u0639\u0627\u062f\u0644\u0647 (2) \u0646\u0648\u0634\u062a\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u0628\u0627\u0644\u0627\u0646\u0648\u06cc\u0633 n<\/em> \u0648 n+1<\/em>\u00a0 \u0628\u06cc\u0627\u0646\u06af\u0631 \u0627\u0646\u062f\u06cc\u0633 \u0632\u0645\u0627\u0646 \u0641\u0639\u0644\u06cc \u0648 \u0628\u0639\u062f\u06cc \u0647\u0633\u062a\u0646\u062f. \u062d\u062c\u0645 \u06a9\u0646\u062a\u0631\u0644 \u062f\u0631 \u0632\u0645\u0627\u0646 n+1<\/em>\u060c \u06a9\u0647 \u0628\u0627 Vn+1<\/sup><\/em> \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f \u0646\u06cc\u0632 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0645\u0639\u0627\u062f\u0644\u0647 (3) \u0628\u0647 \u0631\u0648\u0632 \u0631\u0633\u0627\u0646\u06cc \u0645\u06cc\u200c\u0634\u0648\u062f. \u0631\u0648\u0634\u0646 \u0627\u0633\u062a \u06a9\u0647 dV\/dt<\/em> \u0645\u0634\u062a\u0642 \u0632\u0645\u0627\u0646\u06cc \u062d\u062c\u0645 \u062f\u0631 \u062d\u062c\u0645 \u06a9\u0646\u062a\u0631\u0644 \u0645\u06cc\u200c\u0628\u0627\u0634\u062f. \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646\u06a9\u0647 \u0642\u0627\u0646\u0648\u0646 \u0628\u0642\u0627\u06cc \u0634\u0628\u06a9\u0647 (\u0645\u0634) \u0631\u0627 \u0627\u0631\u0636\u0627\u0621 \u06a9\u0646\u06cc\u0645 \u0645\u0634\u062a\u0642 \u0632\u0645\u0627\u0646\u06cc \u062d\u062c\u0645 \u067e\u0627\u0631\u0627\u0645\u062a\u0631 \u062d\u062c\u0645 \u06a9\u0646\u062a\u0631\u0644 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0645\u0639\u0627\u062f\u0644\u0647 (4) \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u062f\u0631 \u0627\u06cc\u0646 \u0645\u0639\u0627\u062f\u0644\u0647 nf<\/sub><\/em> \u062a\u0639\u062f\u0627\u062f \u0648\u062c\u0648\u0647 \u062d\u062c\u0645 \u06a9\u0646\u062a\u0631\u0644 (\u06cc\u0627 \u0647\u0645\u0627\u0646 \u0633\u0644\u0648\u0644 \u0634\u0628\u06a9\u0647) \u0648 \u0628\u0631\u062f\u0627\u0631 Aj<\/sub><\/em> \u0628\u0631\u062f\u0627\u0631 \u0645\u0633\u0627\u062d\u062a \u0648\u062c\u0647 j<\/em> \u0647\u0633\u062a\u0646\u062f. \u03b4Vj<\/sub><\/em> \u062d\u062c\u0645 \u062e\u0631\u0648\u062c\u06cc \u0628\u0647 \u0648\u0633\u06cc\u0644\u0647 \u0648\u062c\u0647 \u062d\u062c\u0645 \u06a9\u0646\u062a\u0631\u0644 \u062f\u0631 \u06af\u0627\u0645 \u0632\u0645\u0627\u0646\u06cc \u0394t<\/em> \u0627\u0633\u062a.<\/span><\/p>\n

\"\u0645\u0639\u0627\u062f\u0644\u0627\u062a<\/p>\n

\u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0641\u0631\u0645\u0648\u0644 \u06af\u0633\u0633\u062a\u0647 \u0633\u0627\u0632\u06cc \u0645\u0631\u062a\u0628\u0647 \u062f\u0648\u0645 \u067e\u0633\u0631\u0648 (Second-Order Backward Difference)\u060c \u0645\u0634\u062a\u0642 \u0632\u0645\u0627\u0646\u06cc \u0645\u0639\u0627\u062f\u0644\u0647 (1) \u0628\u0647 \u0635\u0648\u0631\u062a \u0645\u0639\u0627\u062f\u0644\u0647 (6) \u0646\u0648\u0634\u062a\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f \u06a9\u0647 \u062f\u0631 \u0622\u0646 n+1<\/em>\u060c n<\/em> \u0648 n-1<\/em> \u0628\u06cc\u0627\u0646\u06af\u0631 \u0627\u0646\u062f\u06cc\u0633 \u0632\u0645\u0627\u0646\u06cc \u0628\u0639\u062f\u06cc\u060c \u0641\u0639\u0644\u06cc \u0648 \u0642\u0628\u0644\u06cc \u0647\u0633\u062a\u0646\u062f. \u062f\u0631 \u0645\u0648\u0631\u062f \u06af\u0633\u0633\u062a\u0647 \u0633\u0627\u0632\u06cc \u0645\u0631\u062a\u0628\u0647 \u062f\u0648\u0645 \u0645\u0634\u062a\u0642 \u0632\u0645\u0627\u0646\u06cc \u062d\u062c\u0645 \u0645\u0631\u0628\u0648\u0637 \u0628\u0647 \u062d\u062c\u0645 \u06a9\u0646\u062a\u0631\u0644\u060c \u0627\u0632 \u0647\u0645\u0627\u0646 \u0631\u0648\u0634 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0634\u062f\u0647 \u062f\u0631 \u06af\u0633\u0633\u062a\u0647 \u0633\u0627\u0632\u06cc \u0645\u0631\u062a\u0628\u0647 \u0627\u0648\u0644\u00a0 \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u062f\u0631 \u0645\u0639\u0627\u062f\u0644\u0647 (4) \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0634\u062f\u0647 \u0648 \u0645\u0639\u0627\u062f\u0644\u0647 (5) \u0646\u06cc\u0632 \u0628\u0635\u0648\u0631\u062a \u0645\u0639\u0627\u062f\u0644\u0647 (7) \u0628\u0627\u0632 \u0646\u0648\u06cc\u0633\u06cc \u0645\u06cc\u200c\u0634\u0648\u062f. (\u03b4Vj<\/sub>)n<\/sup><\/em> \u0648 (\u03b4Vj<\/sub>)N+1<\/sup><\/em> \u062d\u062c\u0645\u200c\u0647\u0627\u06cc\u06cc \u0647\u0633\u062a\u0646\u062f \u06a9\u0647 \u062a\u0648\u0633\u0637 \u0648\u062c\u0648\u0647 \u062d\u062c\u0645 \u06a9\u0646\u062a\u0631\u0644 \u062f\u0631 \u06af\u0627\u0645\u200c\u0647\u0627\u06cc \u0632\u0645\u0627\u0646\u06cc \u0642\u0628\u0644\u06cc \u0648 \u0641\u0639\u0644\u06cc \u062e\u0627\u0631\u062c \u0645\u06cc \u0634\u0648\u0646\u062f.<\/span><\/p>\n

\"\u0645\u0639\u0627\u062f\u0644\u0627\u062a<\/p>\n

 <\/p>\n

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

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

1- \u062a\u0626\u0648\u0631\u06cc \u062d\u0644\u06af\u0631 \u0634\u0634 \u062f\u0631\u062c\u0647 \u0622\u0632\u0627\u062f\u06cc 6DOF<\/strong><\/span><\/a><\/h4>\n

2- \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u0628\u0647 \u0631\u0648\u0632 \u0631\u0633\u0627\u0646\u06cc \u0645\u0634 (\u0634\u0628\u06a9\u0647) \u067e\u0648\u06cc\u0627 (\u062f\u06cc\u0646\u0627\u0645\u06cc\u06a9\u06cc)<\/strong><\/span><\/a><\/h4>\n

 <\/p>\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><\/h6>\n

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

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

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

\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0628\u0642\u0627\u0621 \u0645\u0634 \u062f\u06cc\u0646\u0627\u0645\u06cc\u06a9\u06cc Dynamic Mesh Conservation Equations \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0634\u0628\u06a9\u0647 \u062f\u06cc\u0646\u0627\u0645\u06cc\u06a9\u06cc\u060c \u0641\u0631\u0645 \u0627\u0646\u062a\u06af\u0631\u0627\u0644\u06cc \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0628\u0642\u0627\u0621 \u0645\u0634 \u062f\u06cc\u0646\u0627\u0645\u06cc\u06a9\u06cc \u0628\u0631\u0627\u06cc \u06cc\u06a9 \u06a9\u0645\u06cc\u062a \u0627\u0633\u06a9\u0627\u0644\u0631 \u06a9\u0644\u06cc\u060c \u03d5\u060c \u062f\u0631 \u06cc\u06a9 \u062d\u062c\u0645 \u06a9\u0646\u062a\u0631\u0644 \u062f\u0644\u062e\u0648\u0627\u0647\u060c V\u060c \u0628\u0647 \u0635\u0648\u0631\u062a \u0645\u0639\u0627\u062f\u0644\u0647 (1) \u0646\u0648\u0634\u062a\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u06a9\u0647 \u03c1: \u0686\u06af\u0627\u0644\u06cc… Read More<\/a><\/p>\n","protected":false},"author":1,"featured_media":14032,"parent":14058,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-14092","page","type-page","status-publish","has-post-thumbnail","hentry"],"yoast_head":"\n\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0628\u0642\u0627\u0621 \u0645\u0634 \u062f\u06cc\u0646\u0627\u0645\u06cc\u06a9\u06cc - cfd-mrk<\/title>\n<meta name=\"description\" content=\"\u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0634\u0628\u06a9\u0647 \u062f\u06cc\u0646\u0627\u0645\u06cc\u06a9\u06cc\u060c \u0641\u0631\u0645 \u0627\u0646\u062a\u06af\u0631\u0627\u0644\u06cc \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0628\u0642\u0627\u0621 \u0645\u0634 \u062f\u06cc\u0646\u0627\u0645\u06cc\u06a9\u06cc \u0628\u0631\u0627\u06cc \u06cc\u06a9 \u06a9\u0645\u06cc\u062a \u0627\u0633\u06a9\u0627\u0644\u0631 \u06a9\u0644\u06cc\u060c \u03d5\u060c \u062f\u0631 \u06cc\u06a9 \u062d\u062c\u0645 \u06a9\u0646\u062a\u0631\u0644 \u062f\u0644\u062e\u0648\u0627\u0647\u060c V\u060c \u0646\u0648\u0634\u062a\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.\" \/>\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\/grid-generation\/fundamentals-of-grid-generation\/dynamic-mesh\/dynamic-mesh-theory\/dynamic-mesh-conservation-equations\/\" \/>\n<meta property=\"og:locale\" content=\"fa_IR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0628\u0642\u0627\u0621 \u0645\u0634 \u062f\u06cc\u0646\u0627\u0645\u06cc\u06a9\u06cc - cfd-mrk\" \/>\n<meta property=\"og:description\" content=\"\u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0634\u0628\u06a9\u0647 \u062f\u06cc\u0646\u0627\u0645\u06cc\u06a9\u06cc\u060c \u0641\u0631\u0645 \u0627\u0646\u062a\u06af\u0631\u0627\u0644\u06cc \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0628\u0642\u0627\u0621 \u0645\u0634 \u062f\u06cc\u0646\u0627\u0645\u06cc\u06a9\u06cc \u0628\u0631\u0627\u06cc \u06cc\u06a9 \u06a9\u0645\u06cc\u062a \u0627\u0633\u06a9\u0627\u0644\u0631 \u06a9\u0644\u06cc\u060c \u03d5\u060c \u062f\u0631 \u06cc\u06a9 \u062d\u062c\u0645 \u06a9\u0646\u062a\u0631\u0644 \u062f\u0644\u062e\u0648\u0627\u0647\u060c V\u060c \u0646\u0648\u0634\u062a\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/cfd-mrk.ir\/index.php\/training\/grid-generation\/fundamentals-of-grid-generation\/dynamic-mesh\/dynamic-mesh-theory\/dynamic-mesh-conservation-equations\/\" \/>\n<meta property=\"og:site_name\" content=\"cfd-mrk\" \/>\n<meta property=\"article:modified_time\" content=\"2025-02-04T08:24:50+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2024\/09\/Spring-Mesh.png\" \/>\n\t<meta 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