Accuracy of Spectral and Finite Difference Schemes in 2D Advection Problems
نویسندگان
چکیده
منابع مشابه
Positivity-preserving nonstandard finite difference Schemes for simulation of advection-diffusion reaction equations
Systems in which reaction terms are coupled to diffusion and advection transports arise in a wide range of chemical engineering applications, physics, biology and environmental. In these cases, the components of the unknown can denote concentrations or population sizes which represent quantities and they need to remain positive. Classical finite difference schemes may produce numerical drawback...
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Conventional explicit nite diierence schemes for the advection equations are subject to the time step restrictions dictated by the CFL condition. In many situations, time step sizes are not chosen to satisfy accuracy requirements but rather to satisfy the CFL condition. In this paper we present explicit algorithms which are stable far beyond the CFL restriction. Similar or even better accuracy ...
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متن کاملpositivity-preserving nonstandard finite difference schemes for simulation of advection-diffusion reaction equations
systems in which reaction terms are coupled to diffusion and advection transports arise in awide range of chemical engineering applications, physics, biology and environmental. in these cases, thecomponents of the unknown can denote concentrations or population sizes which represent quantities andthey need to remain positive. classical finite difference schemes may produce numerical drawbacks s...
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ژورنال
عنوان ژورنال: SIAM Journal on Scientific Computing
سال: 2003
ISSN: 1064-8275,1095-7197
DOI: 10.1137/s1064827502405070