image thumbnail

Weighted Essentially Non-Oscillatory (WENO) Scheme for Euler

version 1.0.0.1 (49 KB) by Manuel A. Diaz
A Fifth order WENO solver for the Euler system of equations

676 Downloads

Updated 30 Aug 2018

View License

A one-dimensional implementation of 5th-order WENO scheme as introduced by

[1] Shu, Chi-Wang. "Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws." Advanced numerical approximation of nonlinear hyperbolic equations. Springer, Berlin, Heidelberg, 1998. 325-432.

and

[2] Jiang, Guang-Shan, and Cheng-chin Wu. "A high-order WENO finite difference scheme for the equations of ideal magnetohydrodynamics." Journal of Computational Physics 150.2 (1999): 561-594. The present code is intended to be a guide to the implementation of the method.

It exemplifies the implementation of the component-wise reconstruction for finite-difference (FD) and finite-volume (FV) methods. In this update, I also include the characteristic-wise reconstruction in FV methodology.
As always, the philosophy behind this code is to be readable rather than efficient. Here, I dedicate this example to all the CFD students starting their path in numerical methods. Manuel A. Diaz (June 2018)

Cite As

Manuel A. Diaz (2021). Weighted Essentially Non-Oscillatory (WENO) Scheme for Euler (https://www.mathworks.com/matlabcentral/fileexchange/56905-weighted-essentially-non-oscillatory-weno-scheme-for-euler), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2013b
Compatible with any release
Platform Compatibility
Windows macOS Linux

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!