Numerical methods for time-dependent convection-diffusion equations
نویسندگان
چکیده
منابع مشابه
On Splitting-Based Numerical Methods for Convection-Diffusion Equations
Convection-diffusion equations model a variety of physical phenomena. Computing solutions of these equations is an important and challenging problem, especially in the convection dominated case, in which viscous layers are so thin that one is forced to use underresolved methods that may be unstable. If an insufficient amount of physical diffusion is compensated by an excessive numerical viscosi...
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We present an efficient and robust approach in the finite element framework for numerical solutions that exhibit multiscale behavior, with applications to singularly perturbed convection-diffusion problems. The first type of equation we study is the convectiondominated convection-diffusion equation, with periodic or random coefficients; the second type of equation is an elliptic equation with s...
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We present a finite element method for time-dependent convectiondiffusion equations. The method is explicit and is applicable with piecewise polynomials of degree n > 2 . In the limit of zero diffusion, it reduces to a recently analyzed finite element method for hyperbolic equations. Near optimal error estimates are derived. Numerical results are given.
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Convection-diffusion equations provide the basis for describing heat and mass transfer phenomena as well as processes of continuum mechanics. To handle flows in porous media, the fundamental issue is to model correctly the convective transport of individual phases. Moreover, for compressible media, the pressure equation itself is just a time-dependent convection-diffusion equation. For differen...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1988
ISSN: 0377-0427
DOI: 10.1016/0377-0427(88)90315-9