Software for solving gas dynamics problems using completely conservative difference schemes with adaptive artificial viscosity

Abstract

An approach to the numerical solution of the equations of gas dynamics with usage of completely conservative difference schemes with adaptive artificial viscosity is considered. Computational algorithms were developed and software implementing the proposed method within a client-server architecture was created. The client part is written in JavaScript (React), the server part is realized in Go, and the computing core is implemented in C++. Such an organization provides convenient web access, scalability, and high performance in solving hyperbolic tasks. To verify the accuracy and stability of the implemented method, numerical experiments were carried out on classical test problems of gas dynamics — on the Sod and Einfeldt problems. The obtained results confirmed the correct reproduction of shock waves, contact discontinuities and the absence of instabilities. The developed software can serve as a basic platform for further extension to spatially multidimensional formulations and the inclusion of additional physical effects.