ࡱ> $# \p station 19 Ba==hM:#8X@"1MArial1MArial1MArial1MArial1,MNokia Sans S601,MNokia Sans S601,MNokia Sans S601,MNokia Sans S601,MNokia Sans S60/#,##0"@.";\-#,##0"@."9#,##0"@.";[Red]\-#,##0"@.";#,##0.00"@.";\-#,##0.00"@."E #,##0.00"@.";[Red]\-#,##0.00"@."k*3_-* #,##0"@."_-;\-* #,##0"@."_-;_-* "-""@."_-;_-@_-k)3_-* #,##0_@_._-;\-* #,##0_@_._-;_-* "-"_@_._-;_-@_-{,;_-* #,##0.00"@."_-;\-* #,##0.00"@."_-;_-* "-"??"@."_-;_-@_-{+;_-* #,##0.00_@_._-;\-* #,##0.00_@_._-;_-* "-"??_@_._-;_-@_- dd/mm/yy mm/dd/yy                $@II@  * P " P   %   Q   %   Q  %   Q  % Q  QQ   1    * P  U % U  QU    (   Q  (   ( Q +    `Content"((RTIME SAVING METHODS TO SIMULATE THE FLOW OF INCOMPRESSIBLE FLUID AT CRITICAL MODES#TopicHrs4 Introduction. The scope of problems. Basic physics.5Navier-Stokes mathematical model and its properties. kDifferent coordinates systems. Curvilinear coordinates. Navier-Stokes equations in curvilinear coordinates.Grid generation. Common theory for 2D and 3D cases. Applied methods, algorithms and ways to speed up calculations. Samples of grids in different domains.qApproximating differential operators on the arbitrary grids. Properties of these approximations. 2D and 3D cases./The scope of 2D projects and results expected Finite difference analogues of Navier-Stokes equations. Schemes properties. 2D and 3D cases. Different symmetries. Properties of solutions. The bucket of differential schemes. Final effective numerical algorithm for 2D problem. Why it's economical. Some samples of numerical solutions to 2D problems.3Final effective numerical algorithm for 3D problem.#Functional spaces and inequalities.E Navier-Stokes mathematical model. Non-linear non-stationary problem.FTikhonov's method to solve incorrectly or weakly conditioned problems. Review of numerical results.Review of the course.Tests.Total:K-:>=><8G=K5 G8A;5==K5 <5B>4K ?@8 @5H5=88 7040G 2KG8A;8B5;L=>9 384@>48=0<8:8! "5<0'AK/2545=85. >AB0=>2:0 7040G8. $878G5A:85 >A=>2K.20B5<0B8G5A:0O <>45;L 02L5-!B>:A0 8 55 A2>9AB20. m 07;8G=K5 :>>@48=0B=K5 A8AB5<K. @82>;8=59=K5 :>>@;8=0BK. #@02=5=8O 02L5-!B>:A0 2 :@82>;8=59=KE :>>@48=0B0E.u5=5@0F8O A5B:8. 1I0O B5>@8O 4;O 42CE- 8 B@5E<5@=KE >1;0AB59. @8<5=O5<K5 0;3>@8B<K 8 A?>A>1K MDD5:B82=>3> @5H5=8O. l??@>:A8<0F8O 48DD5@5=F80;L=KE >?5@0B>@>2 =0 ?@>872>;L=>9 A5B:5 8 8E A2>9AB20 4;O 42CE- 8 B@5E<5@=KE 7040G. 417>@ 42C<5@=KE <8=8?@>5:B>2 8 >68405<K5 @57C;LB0BK.>=5G=>-@07=>AB=K9 0=0;>3 C@02=5=89 02L5-!B>:A0. !2>9AB20 ?>;CG5==KE AE5< 4;O 42CE- 8 B@5E<5@=KE 7040G. !8<<5B@88. !2>9AB20 ?>;CG05<KE @5H5=89. ?@>10F8O <5B>40.!5<59AB2> @07=>AB=KE AE5<. :>=G0B5;L=K9 20@80=B 2KG8A;8B5;L=>3> 0;3>@8B<0 4;O 42C<5@=>9 7040G8. -:>=><8G=>9ABL ?>;CG5==>3> 0;3>@8B<0. @8<5@K ?>;CG5==KE @5H5=89.F:>=G0B5;L=K9 20@80=B 2KG8A;8B5;L=>3> 0;3>@8B<0 4;O B@5E<5@=>9 7040G8.*$C=:F8>=0;L=K5 ?@>AB@0=AB20 8 =5@025=AB20.T0B5<0B8G5A:0O <>45;L 02L5-!B>:A0 8 55 A2>9AB20. 5;8=59=0O =5AB0F8>=0@=0O 7040G0.E5B>4 "8E>=>20 4;O @5H5=8O =5:>@@5:B=KE 8;8 A;01>>1CA;>2;5==KE 7040G.*17>@ @57C;LB0B>2 G8A;5==KE M:A?5@8<5=B>2. 17>@ :C@A0.0G5BA53>: * hf cc  $]#$  dMbP?_*+%"??U} $} $N} $$v@;@;@@@@X@;@X@ @ ;@ @ ;@ h@;@;@J@J@@J@;@;@v@v@v@;@@@J@;@v@J@     ~ ? ~ ?@ L ~ @@ ~ @@ ~ @@ ~ @@  ~ ?@   ~ @  @   ~ @ "@   ~ ? $@   ~ @ &@  ~ @ (@ ~ ?*@ ~ ?,@ ~ ?.@ ~ @ # @@ e"  !! " # $~ %? &~ '?@" L (~ @@ (~ @@ (~ @@ (~ @@ (~ ?@ (~ @ @ (~ @"@( ( ~ ?$@( (!~ @&@( ("~ @(@(  (#~ @D l**R;;;;;;;;;;;;;?**R;;;;;;;;; J@!,",#; *@(! ($~ ?!,@(" !(%~ !?".@(# ")&~ "?# #*'##+@@ I e"" @<;;;>@7 Oh+'0P(0 <H1@/z՜.+,0HP X`hp x  Content  Worksheets  !"Root Entry F>%Workbook,%SummaryInformation(DocumentSummaryInformation8