Approximation Schemes for convective term - structured grids - Summary of Discretizations Schemes and examples

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When we shall fill this page, I offer to make common identifications, because in different issues was used different notation.

Also we beg everybody to help me with original works. Later I shall write, what is necessary. If anyone have literature connected with convective schemes, please drop me a line.

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Discretizations Schemes Estimation of order

Discretizations Schemes Estimation of error

Selection advice

Comparison of Discretizations Schemes

Numerical examples

Pure convection of a scalar step by a rotating velocity field (Smith-Hutton test)

R.M.Smith and A.G.Hutton (1982), "The numerical treatment of advection: A performance comparison of current methods", Numerical Heat Transfer, Vol. 5, p439.

Square Lid-driven cavity flow

Example code for solving Smith-Hutton test

Dear friends

It's jasy a scetch. Later I'll correct it, although it's a working code

Developer

• Example code for solving Smith-Hutton test - Fortran 90

main.f90

Program Main

include 'icomm_1.f90'

Dimension F_out(nx,ny) Character Filename*10

Call Ini 

Call Grid_rectangular Call input_all Call Geom Call Init_all

   Call Control_gem

Do 100 Niter=1,100

write(*,*) '------------------------',Niter,'------------------------',Niter

Call Coef_1(5)

	Call Check_koeff	

!  Alfa = 0.95     
!  Call Under_Relaxation(Alfa,5)

   Call TDMA_1(5)
 

Call Bound_condition

  Call Convergence_Criteria(5)

100 continue

!---------------------------------------------------------------- NImax = NXmaxp NJmax = NYmaxp

F_out = F(:,:,1)

! 1234567890 Filename ='1_U_s.txt'

! Call Out_array(F_out,NImax,NJmax,Filename) !------------------------------------------------------------------- !---------------------------------------------------------------- NImax = NXmaxp NJmax = NYmaxp

F_out = F(:,:,2)

! 1234567890 Filename ='1_V_s.txt'

! Call Out_array(F_out,NImax,NJmax,Filename) !------------------------------------------------------------------- !---------------------------------------------------------------- NImax = NXmaxp NJmax = NYmaxp

F_out = F(:,:,5)

! 1234567890 Filename ='1_T_s.txt'

! Call Out_array(F_out,NImax,NJmax,Filename) !-------------------------------------------------------------------

	Call output_all

WRITE(*,*) 'PRIVET' STOP END