Using the Nonlinear Compact Polynomial Method for Numerical Solution of Gas-Dynamics Equations
Abstract
The work presents a mathematical description and testing of a numerical method for solving gas-dynamics equations (Euler equations). This mathematical method is based on the nonlinear compact polynomial computational method. It should also be noted that, to find the solution to the gas-dynamics equations, a transition was made (in the vicinity of the computational cell $${{\Omega }_{i}}$$ ) in a local curvilinear coordinate system. An initial verification of the numerical method proposed in the work was carried out.
Fields of Study & Subjects
Differential Equations and Numerical Methods
Differential Equations and Boundary Problems
Advanced Computational Techniques in Science and Engineering
Publication details
- Journal / source
- Technical Physics Letters
- Publisher
- Pleiades Publishing Ltd
- Volume
- 52
- Issue
- 1
- Pages
- 11–21
- Publication date
- 1 January 2026
- Language
- EN