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Development of Band-Adaptive Grids Based on TVD Schemes for Solving Problems in Gas Dynamics

Authors: Dimitrienko Yu.I., Koryakov M.N., Zakharov A.A., Syzdykov Ye.K. Published: 05.09.2013
Published in issue: #2(41)/2011  
DOI:

 
Category: Applied Mathematics and Methods of Mathematical Simulation  
Keywords: gas dynamics, numerical methods, TVD schemes, band-adaptive grids

A variant of the method of band-adaptive grids is offered which is based on TVD scheme of the 2nd order of accuracy. Results of testing the numerical method using problems on decay, disruption of flow about a wedge and a step are presented. It is shown that the developed method based on TVD scheme provides the higher accuracy of numerical simulation in comparison to the method of band-adaptive grids based on MacCormack scheme, but the calculation time is almost equal for both methods.