Jacobian Matrix of Van Leer Flux Splitting Vector

December 27, 2000, 02:54

Could any one provide references on Jacobian Matrix of Van Leer Flux Splitting Vector for me or tell me how to compute it? Thanks in advance. Merry Christmas and Happy New Year!

December 27, 2000, 20:34

The two volume text -book by Hoffmann and Chiang (1993)is completely explaining Steger-Warming FVS scheme, which is about 95% similar to van Leer's.

U can calculate all the fluxes and Jacobians say by using Maple or Mathematica.

If U have Maple sofware, I can send U my maple file which computes the jacobian, eigen values, fluxe vectors etc.

Fazila · July 29, 2010, 10:57

I am very new in the field of numerical methods. Currently, I am studying the impact of CFL number on the numerical convergence and computational run time and I found that implicit method has difficulties to solve the Jacobian matrix, causing the required CPU time higher for convergence. One way of solving that problem is by using Jacobian-free method.

But first, i am asking for one's good office to suggest me how could I start the studies from the Jacobian matrix calculation to have a better understanding on that.

Thanks in advance

December 27, 2000, 02:54	Jacobian Matrix of Van Leer Flux Splitting Vector	#1
Jackson Guest Posts: n/a	Could any one provide references on Jacobian Matrix of Van Leer Flux Splitting Vector for me or tell me how to compute it? Thanks in advance. Merry Christmas and Happy New Year!

December 27, 2000, 20:34	Re: Jacobian Matrix of Van Leer Flux Splitting Vec	#2
Mohammad Kermani Guest Posts: n/a	The two volume text -book by Hoffmann and Chiang (1993)is completely explaining Steger-Warming FVS scheme, which is about 95% similar to van Leer's. U can calculate all the fluxes and Jacobians say by using Maple or Mathematica. If U have Maple sofware, I can send U my maple file which computes the jacobian, eigen values, fluxe vectors etc.

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July 29, 2010, 10:57		#3
Fazila New Member FMZ Join Date: Jul 2010 Posts: 1 Rep Power: 0	I am very new in the field of numerical methods. Currently, I am studying the impact of CFL number on the numerical convergence and computational run time and I found that implicit method has difficulties to solve the Jacobian matrix, causing the required CPU time higher for convergence. One way of solving that problem is by using Jacobian-free method. But first, i am asking for one's good office to suggest me how could I start the studies from the Jacobian matrix calculation to have a better understanding on that. Thanks in advance