Abstract

A modification of the adaptive artificial viscosity (AAV) method is considered. This modification is based on one stage time approximation and is adopted to calculation of gasdynamics problems on unstructured grids with an arbitrary type of grid elements. The proposed numerical method has simplified logic, better performance and parallel efficiency compared to the implementation of the original AAV method. Computer experiments evidence the robustness and convergence of the method to difference solution.

Highlights

  • The paper describes a one-step modification of the adaptive artificial viscosity (AAV) method [1] with generalization for the case of spatial discretization using unstructured grids with an arbitrary type of elements

  • The implementation of the one-step method has simplified logic, better performance and parallel efficiency compared to the implementation of the original AAV method

  • Let us consider a system of Euler equations [2] with time Lax – Vendroff corrections

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Summary

Introduction

The paper describes a one-step modification of the adaptive artificial viscosity (AAV) method [1] with generalization for the case of spatial discretization using unstructured grids with an arbitrary type of elements. The implementation of the one-step method has simplified logic, better performance and parallel efficiency compared to the implementation of the original AAV method. Based on the modified AAV method, a parallel algorithm and a program for simulating gas dynamics problems for multiprocessor systems with multi-core general-purpose processors are developed. The paper presents parallel software efficiency and examples of the possibility of using it for large-scale computational experiments

Statement of the problem and approximation of equations
Numerical experiments
Parallel program package
Conclusion
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