منابع مشابه
Numerical methods for high-dimensional kinetic equations
High-dimensionality is one of the major challenges in kinetic modeling and simulation of realistic physical systems. The most appropriate numerical scheme needs to balance accuracy and computational complexity, and it also needs to address issues such as multiple scales, lack of regularity, and long-term integration. In this chapter, we review state-of-the-art numerical techniques for highdimen...
متن کاملConservative numerical methods for model kinetic equations
A new conservative discrete ordinate method for nonlinear model kinetic equations is proposed. The conservation property with respect to the collision integral is achieved by satisfying at the discrete level approximation conditions used in deriving the model collision integrals. Additionally to the conservation property, the method ensures the correct approximation of the heat uxes. Numerical ...
متن کاملA Hierarchy of Hybrid Numerical Methods for Multiscale Kinetic Equations
In this paper, we construct a hierarchy of hybrid numerical methods for multi-scale kinetic equations based on moment realizability matrices, a concept introduced by Levermore, Morokoff and Nadiga in [15]. Following such a criterion, one can consider hybrid scheme where the hydrodynamic part is given either by the compressible Euler or Navier-Stokes equations, or even with more general models, ...
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ژورنال
عنوان ژورنال: Acta Numerica
سال: 2014
ISSN: 0962-4929,1474-0508
DOI: 10.1017/s0962492914000063