|
[Sponsors] |
February 14, 2007, 04:10 |
extrapolation in MUSCL scheme
|
#1 |
Guest
Posts: n/a
|
hello,
I am planning to shift to MUSCL scheme in my Energy Equation solver(calculation of T) from upwind scheme (which I am using so far). I went through details and understood almost all the things except one, which is as follows: To solve, say, "du/dt + df(u)/dx = 0", using MUSCL scheme, one needs to evaluate f[u*_(i+1/2)] and f[u*_(i-1/2)]. Literature says that u*_(i+1/2) = g[u_(1+1/2)_L, u_(1+1/2)_R] and u*_(i-1/2) = g[u_(1-1/2)_L, u_(1-1/2)_R]. For these functions "g()", the reference I got on wikipedia is to use Kurganov and Tadmor central scheme [http://en.wikipedia.org/wiki/MUSCL_scheme]. But that requires evaluation of spectral radius of "df/du" at different node-points to calculate the local propagation speed. This evaluation of spectral radius seems to be much time consuming. Could any of you please suggest me any of the following: 1. How to evaluate the local-propagation speed "easily"? 2. Is there any other way to get a reliable function "g()" (instead of Kurganov and Tadmor's scheme). and at last, 3. If I am wrong somewhere, please suggest me if there is any other way to implement the MUSCL scheme easily. Or, a way to have better solution than the upwind scheme I am using now (I thought of using 3rd order upwind scheme but I rejected the idea because it will get too complex on staggered, non-uniform grids). Thank you very much in anticipation, Please help me if you have any experience with using MUSCL, regards, Chandra |
|
|
|
Similar Threads | ||||
Thread | Thread Starter | Forum | Replies | Last Post |
Trouble when using MUSCL scheme on ONERA M6 wing | Aurélien | FLUENT | 2 | January 23, 2013 07:42 |
Numerical viscosity due to the MUSCL and HLL coulpled scheme | sonsiest | Main CFD Forum | 0 | May 23, 2011 15:37 |
MUSCL scheme implementation | ANPDEstudent | Main CFD Forum | 1 | June 26, 2010 23:57 |
Extrapolation scheme in icoFoam | skabilan | OpenFOAM Running, Solving & CFD | 0 | June 21, 2010 16:37 |
MUSCL scheme | B. Nilsson | Main CFD Forum | 1 | October 30, 1998 02:11 |