Runge-Kutta Discontinuous Galerkin method for the Boltzmann equation

作者: Ho Man Lui

DOI:

关键词: Boltzmann equationRunge–Kutta methodsComputational scienceDiscontinuous Galerkin methodComputer scienceApplied mathematics

摘要:

参考文章(18)
George Karniadakis, Spencer J. Sherwin, Spectral/hp Element Methods for Computational Fluid Dynamics ,(2005)
William H. Beyer, CRC Handbook of Mathematical Sciences ,(1978)
Lowell L. Baker, Efficient numerical methods for solving the Boltzmann equation for low-speed flows Massachusetts Institute of Technology. ,(2004)
J. VonNeumann, R. D. Richtmyer, A Method for the Numerical Calculation of Hydrodynamic Shocks Journal of Applied Physics. ,vol. 21, pp. 232- 237 ,(1950) , 10.1063/1.1699639
Kenneth R. Jackson, J. C. Butcher, The numerical analysis of ordinary differential equations: Runge-Kutta and general linear methods Mathematics of Computation. ,vol. 51, pp. 377- ,(1987) , 10.2307/2008600
Bernardo Cockburn, Chi-Wang Shu, The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems SIAM Journal on Numerical Analysis. ,vol. 35, pp. 2440- 2463 ,(1998) , 10.1137/S0036142997316712
Lowell L. Baker, Nicolas G. Hadjiconstantinou, Variance reduction for Monte Carlo solutions of the Boltzmann equation Physics of Fluids. ,vol. 17, pp. 051703- ,(2005) , 10.1063/1.1899210