Evaluate shock capturing capability with the numerical methods in OpenFOAM

Shock Capturing and Related Numerical Methods in Computational Fluid Dynamics

Some developments and efforts in designing and analyzing shock capturing algorithms and related numerical methods in computational fluid dynamics are reviewed. The importance of numerical viscosity in shock capturing algorithms is analyzed; the convergence and stability of some shock capturing algorithms are presented; the role of shock capturing algorithms in a mathematical existence theory is...

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 ...

Chapter 1 Shock capturing methods

1.1.1

Conservative, Shock-capturing Transport Methods with Nonconservative Velocity Approximations

Developing a Shock-Capturing Formulation with Higher Performance to Capture Normal Standing Shock in All-Speed Regime

The main objective of the present study is to utilize a novel linearization strategy to linearize the convection terms of the quasi-one-dimensional Euler governing equations on collocated grids and to examine its shock-capturing capabilities. To avoid a pressure checkerboard problem on the collocated grids, it is necessary to utilize two velocity definitions at each cell face. Similarly, we def...