Low-Dissipative High-Order Shock-Capturing Methods Using Characteristic-Based Filters

High-Order Shock Capturing for Computational Aeroacoustics

Shock detection and capturing methods for high order Discontinuous-Galerkin Finite Element Methods

High-order Discontinuous Galerkin (DG) methods have shown a lot of promise in being able to provide high accuracy and efficiency as well as the flexibility to handle complex unstructured grids. However in order to solve compressible flow problems effectively, we need to be able to detect discontinuities/shocks in the flow and capture them effectively such that the solution accuracy is not affec...

3 Shock Capturing Methods

8 were performed by Mark Sussman, see ref 29], 30]. The algorithm is based on the level set method and is quite simple to implement. It should be stressed that no special work is needed at pinchoo, merging, development of kinks, etc. and the algorithm is very easy to implement on a xed, uniform grid. All these gures should be read left to right, top to bottom. Figure 1 shows the evolution of a ...

High-order TVD shock-capturing schemes for unstructured grid solvers

High-order Shock Capturing Schemes for Turbulence Calculations

The goal of this work is to investigate methods for simulating turbulent supersonic flows that include shock waves. Several different types of previously proposed characteristic filters, including total variation diminishing (TVD), monotone upstream-centered scheme for conservation laws (MUSCL), and weighted essentially non-oscillatory (WENO) filters, are investigated in this study. Similar to ...