Modified multi-dimensional limiting process with enhanced shock stability on unstructured grids

Modified multi-dimensional limiting process with enhanced shock stability on unstructured grids

The basic concept of multi-dimensional limiting process (MLP) on unstructured grids is inherited and modified for improving shock stabilities and reducing numerical dissipation on smooth regions. A relaxed version of MLP condition, simply named as weak-MLP, is proposed for reducing dissipation. Moreover, a stricter condition, that is the strict-MLP condition, is proposed to enhance the numerica...

Monotonicity of Multi-dimensional Limiting Process on Unstructured Grids

The present paper deals with the continuous work of extending multi-dimensional limiting process (MLP), which has been quite successfully proposed on twoand three-dimensional structured grids, onto the unstructured grids. The basic idea of the present limiting strategy is to control the distribution of both cell-centered and cell-vertex physical properties to mimic a multi-dimensional nature of...

Multi-dimensional limiting process for hyperbolic conservation laws on unstructured grids

The present paper deals with a robust, accurate and efficient limiting strategy on unstructured grids within the framework of finite volume method. The basic idea of the present limiting strategy is to control the distribution of both cell-centered and cell-vertex physical properties to mimic a multi-dimensional nature of flow physics, which can be formulated as so called the MLP condition. The...

Multi-Dimensional Spectral Difference Method for Unstructured Grids

Yen Liu NASA Ames Research Center, Moffett Field, CA 94035 Marcel Vinokur Eloret Corp, Sunnyvale, CA 94086 and Z. J. Wang Iowa State University, Ames, IA 50011 A new, high-order, conservative, and efficient method for conservation laws on unstructured grids is developed. It combines the best features of structured and unstructured grid methods to attain computational efficiency and geometric fl...

Transonic Turbulent Flow Computations on Unstructured Triangular Grids