RK‐IMEX HEVI schemes for fully compressible atmospheric models with advection: analyses and numerical testing
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[1] Christiane Jablonowski,et al. Operator-Split Runge-Kutta-Rosenbrock Methods for Nonhydrostatic Atmospheric Models , 2012 .
[2] Francis X. Giraldo,et al. A study of spectral element and discontinuous Galerkin methods for the Navier-Stokes equations in nonhydrostatic mesoscale atmospheric modeling: Equation sets and test cases , 2008, J. Comput. Phys..
[3] Nigel Wood,et al. Runge-Kutta IMEX schemes for the Horizontally Explicit/Vertically Implicit (HEVI) solution of wave equations , 2013, J. Comput. Phys..
[4] Louis J. Wicker,et al. Time-Splitting Methods for Elastic Models Using Forward Time Schemes , 2002 .
[5] Nigel Wood,et al. An inherently mass‐conserving iterative semi‐implicit semi‐Lagrangian discretization of the non‐hydrostatic vertical‐slice equations , 2010 .
[6] Steven J. Ruuth,et al. Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations , 1997 .
[7] M. Carpenter,et al. Additive Runge-Kutta Schemes for Convection-Diffusion-Reaction Equations , 2003 .
[8] Lorenzo Pareschi,et al. Implicit-explicit runge-kutta schemes and applications to hyperbolic systems with relaxation , 2010, 1009.2757.
[9] Masaki Satoh,et al. Conservative scheme for the compressible nonhydrostatic models with the horizontally explicit and vertically implicit time integration scheme , 2002 .
[10] Dale R. Durran,et al. Implicit–Explicit Multistep Methods for Fast-Wave–Slow-Wave Problems , 2012 .
[11] William C. Skamarock,et al. Efficiency and Accuracy of the Klemp-Wilhelmson Time-Splitting Technique , 1994 .
[12] Emil M. Constantinescu,et al. Implicit-Explicit Formulations of a Three-Dimensional Nonhydrostatic Unified Model of the Atmosphere (NUMA) , 2013, SIAM J. Sci. Comput..
[13] Nigel Wood,et al. Numerical analyses of Runge–Kutta implicit–explicit schemes for horizontally explicit, vertically implicit solutions of atmospheric models , 2014 .