What is the MUSCL scheme?
The MUSCL scheme is a one-parameter family of schemes, where the choice of the parameter gives different schemes; Van Leer originally developed it. For instance if you choose kappa, the parameter to be 0.5, then you get the QUICK scheme. Whatever you choose the formula has been derived for a structured grid.
Is it possible to use MUSCL interpolation scheme in 3D muscle?
MUSCL interpolation scheme is only suitable for uniform grid.if the grid space vary greatly,it leads to too much errors. is it true? if not, please give a wise interpration and give some advice about MUSCL’s use in 3D MUSCLE is just an extrapolation of flow variables to the cell faces. After extrapolation, fluxes are computed at the cell faces.
Can I use muscle scheme for 2D and 3D?
So you can obviously use MUSCLE scheme in your code for 2d or 3d. Also you will do better if you use limiter with high order accuracy (like Osher-Chakr. limiter up to 3rd order acc.). A “good” MUSCL extrapolation is second order accurate on a regular mesh. But, it is less accuarate (in between first and second order) on stretched mesh.
How accurate is MUSCL extrapolation on stretched mesh?
Also you will do better if you use limiter with high order accuracy (like Osher-Chakr. limiter up to 3rd order acc.). A “good” MUSCL extrapolation is second order accurate on a regular mesh. But, it is less accuarate (in between first and second order) on stretched mesh.
MUSCL stands for Monotonic Upstream-centered Scheme for Conservation Laws (van Leer, 1979), and the term was introduced in a seminal paper by Bram van Leer (van Leer, 1979). In this paper he constructed the first high-order, total variation diminishing (TVD) scheme where he obtained second order spatial accuracy.
What does MUSCL stand for?
In the study of partial differential equations, the MUSCL scheme is a finite volume method that can provide highly accurate numerical solutions for a given system, even in cases where the solutions exhibit shocks, discontinuities, or large gradients. MUSCL stands for Monotonic Upwind Scheme for Conservation Laws (van Leer,…