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Using the Simple Algorithm for 2D Staggered Grid in Matlab 

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December 9, 2010, 15:29 
Using the Simple Algorithm for 2D Staggered Grid in Matlab

#1 
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Joshua Lieblong
Join Date: Dec 2010
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I am trying to write code for a project in Matlab. It is a pipe flow problem using the simple algorithm for a 2D staggered grid in matlab. I am quite new to the programming world and have sort of been tossed into it quickly in grad school. I need some help coding, so if anyone can offer it please let me know.


April 1, 2014, 14:00 
have you figured this out yet

#2 
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Banma Kadachha
Join Date: Mar 2014
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If you have figured this out, could you please send me the code at banmakadachha@gmail.com


April 1, 2014, 15:56 

#3 
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Troy Snyder
Join Date: Jul 2009
Location: Akron, OH
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You may be able to modify the staggered lid driven cavity code available in the MATLAB file exchange to suit your needs:
http://www.mathworks.com/matlabcentr...encavityflow 

April 9, 2014, 15:41 
Matlab code for SIMPLEC Algortihm

#4 
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I am trying to write Matlab code for one dimensional convergent nozzle having 5 pressure pressure nodes and 4 velocity nodes using SIMPLEC algorithm.I have done the necessary changes required in SIMPLE i.e changed the value of d term for both momentum equation and pressure correction equations. my problem is that my code is not converging it is giving NaN error.I am using an under relaxation of 0.8. SIMPLE code is running properly and converges after 18 iterations. I have kept the criteria of convergence the residual for the momentum equations.some help required....
thanks 

April 9, 2014, 16:55 

#5 
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Troy Snyder
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Can you please post both the SIMPLE and SIMPLEC versions of the codes? As they are onedimensional, it should be relatively easy to find the error.


April 10, 2014, 02:16 
Matlab code for SIMPLEC Algortihm

#6 
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here are the values for d term for SIMPLEC algorithm and the corresponding residuals.
D_2=((A_B+A_C)/(2))/((AP(2)(AP(3)+AP(1)))); D_1=((A_B+A_A)/(2))/((AP(1)AP(2))); and similar for D_3, D_4 where AP(1) and AP(2) and so on are the coefficients of velocities As in SIMPLE d is only equal to D_2=((A_B+A_C)/(2*AP(2))); I think the error is in TDMA solution of pressure correction equation its code A_W_B=(density*D_1*((A_B+A_A)/2)); A_E_B=(density*D_2*((A_B+A_C)/2)); F_W_B=(density*U1_STAR*((A_B+A_A)/2)); F_E_B=(density*U2_STAR*((A_B+A_C)/2)); A_P_B=A_W_B+A_E_B; b_B=F_W_BF_E_B; A_W_C=(density*D_2*((A_B+A_C)/2)); A_E_C=(density*D_3*((A_D+A_C)/2)); F_W_C=(density*U2_STAR*((A_B+A_C)/2)); F_E_C=(density*U3_STAR*((A_D+A_C)/2)); A_P_C=A_W_C+A_E_C; b_C=F_W_CF_E_C; A_W_D=(density*D_3*((A_D+A_C)/2)); A_E_D=(density*D_4*((A_D+A_E)/2)); F_W_D=(density*U3_STAR*((A_C+A_D)/2)); F_E_D=(density*U4_STAR*((A_D+A_E)/2)); A_P_D=A_W_D+A_E_D; b_D=F_W_DF_E_D; P_DASH_A=0; P_DASH_E=0; A=zeros(3); A(1,1)=A_P_B; A(1,2)=A_E_B; A(2,1)=A_W_C; A(2,2)=A_P_C; A(2,3)=A_E_C; A(3,2)=A_W_D; A(3,3)=A_P_D; b(1)=b_B; b(2)=b_C; b(3)=b_D; m=3; X=zeros(m,1); A(1,2)= A(1,2) / A(1,1); b(1)= b(1) / A(1,1); for i=2:m1 press= A(i,i)  (A(i,i1) * A(i1,i)); A(i,i+1)= A(i,i+1) / press; b(i)= ( b(i)  A(i,i1) * b(i1) ) / press; end i=m; X(m)=(b(i)  (A(i,i1) * b(i1))) / (A(i,i)  (A(i,i1) * A(i1,i))); for a=m1:1:1 X(a)= b(a)(A(a,a+1) * X(a+1)); end and the residual I have set for convergence is r(1)=(AP(1)*FU(1))SU(1); r(2)=(AP(2)*FU(2))((F_w_2*FU(1))+SU(2)); r(3)=(AP(3)*FU(3))((F_w_3*FU(2))+SU(3)); r(4)=(AP(4)*FU(4))((F_w_4*FU(3))+SU(4)); res= abs(r(1)+r(2)+r(3)+r(4)); if (res<=0.00001) break end kindly check if there are any errors in my code thanks 

February 18, 2019, 13:56 

#7 
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ahr
Join Date: Feb 2017
Posts: 4
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HI,
Im writting the same problem in fortran 90; I got the same (underrelaxed) results until the first iteration for 5 nodes, it means: u1=1.78856 u2=2.29959 u3=3.21942 u4=5.36571 and also I got: pA=9.08536 pB=8.8115 pC=8.3396 pD=7.4664 pE=0 the issue is that once I run the next iteration, I dont get the mentioned equation in the book, at node 1: 1.20425(U1)=1.98592, I get: 1.14848(U1)=1.412218 I did it by hand, I dont know what I am doing wrong. 

February 19, 2019, 04:38 

#8 
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duri
Join Date: May 2010
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Attach a debugger check along with your hand calculation.


Tags 
matlab, pipe flow, simple algorithm, staggered grid 
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