A Semi-Implicit Compressible Model for Atmospheric Flows with Seamless Access to Soundproof and Hydrostatic Dynamics
暂无分享,去创建一个
[1] Terry Davies,et al. Validity of anelastic and other equation sets as inferred from normal‐mode analysis , 2003 .
[2] Francis X. Giraldo,et al. A Conservative Discontinuous Galerkin Semi-Implicit Formulation for the Navier-Stokes Equations in Nonhydrostatic Mesoscale Modeling , 2009, SIAM J. Sci. Comput..
[3] Marvin A. Carlson. Editor , 2015 .
[4] William C. Skamarock,et al. Efficiency and Accuracy of the Klemp-Wilhelmson Time-Splitting Technique , 1994 .
[5] R. Hemler,et al. A Scale Analysis of Deep Moist Convection and Some Related Numerical Calculations , 1982 .
[6] Francis X. Giraldo,et al. Current and Emerging Time-Integration Strategies in Global Numerical Weather and Climate Prediction , 2019 .
[7] M. J. P. Cullen,et al. Modelling atmospheric flows , 2007, Acta Numerica.
[8] Shi Jin. ASYMPTOTIC PRESERVING (AP) SCHEMES FOR MULTISCALE KINETIC AND HYPERBOLIC EQUATIONS: A REVIEW , 2010 .
[9] J. Pedlosky. Geophysical Fluid Dynamics , 1979 .
[10] T. Benacchio,et al. A blended semi-implicit numerical model for weakly compressible atmospheric dynamics , 2014 .
[11] Mats Hamrud,et al. A finite-volume module for simulating global all-scale atmospheric flows , 2016, J. Comput. Phys..
[12] Stefan Vater,et al. Stability of a Cartesian grid projection method for zero Froude number shallow water flows , 2009, Numerische Mathematik.
[13] M. Diamantakis,et al. An inherently mass‐conserving semi‐implicit semi‐Lagrangian discretization of the deep‐atmosphere global non‐hydrostatic equations , 2014 .
[14] J. Prusa,et al. EULAG, a computational model for multiscale flows , 2008 .
[15] Clive Temperton,et al. A two‐time‐level semi‐Lagrangian global spectral model , 2001 .
[16] Len G. Margolin,et al. On Forward-in-Time Differencing for Fluids: an Eulerian/Semi-Lagrangian Non-Hydrostatic Model for Stratified Flows , 1997 .
[17] Rupert Klein,et al. A Blended Soundproof-to-Compressible Numerical Model for Small- to Mesoscale Atmospheric Dynamics , 2014 .
[18] Rupert Klein,et al. A Doubly Blended Model for Multiscale Atmospheric Dynamics , 2016 .
[19] Francis P. Bretherton,et al. Atmospheric Frontogenesis Models: Mathematical Formulation and Solution , 1972 .
[20] Louis J. Wicker,et al. Numerical solutions of a non‐linear density current: A benchmark solution and comparisons , 1993 .
[21] J. Dukowicz. Evaluation of Various Approximations in Atmosphere and Ocean Modeling Based on an Exact Treatment of Gravity Wave Dispersion , 2013 .
[22] R. Klein. Scale-Dependent Asymptotic Models for Atmospheric Flows , 2010 .
[23] M. Cullen,et al. The Fully Compressible Semi-Geostrophic System from Meteorology , 2003 .
[24] Colin J. Cotter,et al. A mixed finite‐element, finite‐volume, semi‐implicit discretization for atmospheric dynamics: Cartesian geometry , 2019, Quarterly Journal of the Royal Meteorological Society.
[25] Guillaume Houzeaux,et al. A Review of Element-Based Galerkin Methods for Numerical Weather Prediction: Finite Elements, Spectral Elements, and Discontinuous Galerkin , 2015 .
[26] Mariano Hortal,et al. The development and testing of a new two‐time‐level semi‐Lagrangian scheme (SETTLS) in the ECMWF forecast model , 2002 .
[27] K. P.,et al. HIGH RESOLUTION SCHEMES USING FLUX LIMITERS FOR HYPERBOLIC CONSERVATION LAWS * , 2012 .
[28] Rupert Klein,et al. Scale-Dependent Models for Atmospheric Flows , 2010 .
[29] Bram van Leer,et al. Upwind and High-Resolution Methods for Compressible Flow: From Donor Cell to Residual-Distribution Schemes , 2003 .
[30] Piotr K. Smolarkiewicz,et al. On Forward-in-Time Differencing for Fluids , 1991 .
[31] D. Durran. Improving the Anelastic Approximation , 1989 .
[32] N. Wedi,et al. Perturbation equations for all-scale atmospheric dynamics , 2018 .
[33] E. Hairer,et al. Geometric Numerical Integration , 2022, Oberwolfach Reports.
[34] R. Klein,et al. Extension of Finite Volume Compressible Flow Solvers to Multi-dimensional, Variable Density Zero Mach Number Flows , 2000 .
[35] P. Smolarkiewicz,et al. Conservative integrals of adiabatic Durran's equations , 2008 .
[36] George H. Bryan,et al. A Benchmark Simulation for Moist Nonhydrostatic Numerical Models , 2002 .
[37] Christian Kühnlein,et al. A consistent framework for discrete integrations of soundproof and compressible PDEs of atmospheric dynamics , 2014, J. Comput. Phys..
[38] P. R. Bannon. On the anelastic approximation for a compressible atmosphere , 1996 .
[39] A. S. Almgren,et al. Low mach number modeling of type Ia supernovae. I. Hydrodynamics , 2005 .
[40] Rupert Klein,et al. Regular Article: Extension of Finite Volume Compressible Flow Solvers to Multi-dimensional, Variable Density Zero Mach Number Flows , 1999 .
[41] T. Sonar,et al. Asymptotic adaptive methods for multi-scale problems in fluid mechanics , 2001 .
[42] Michael Baldauf,et al. An analytic solution for linear gravity waves in a channel as a test for numerical models using the non‐hydrostatic, compressible Euler equations , 2013 .
[43] Pierre Bénard,et al. Dynamical kernel of the Aladin–NH spectral limited‐area model: Revised formulation and sensitivity experiments , 2010 .
[44] 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..
[45] N. Wood,et al. Semi-implicit semi-Lagrangian modelling of the atmosphere: a Met Office perspective , 2016 .
[46] Hilary Weller,et al. Curl-Free Pressure Gradients over Orography in a Solution of the Fully Compressible Euler Equations with Implicit Treatment of Acoustic and Gravity Waves , 2014 .
[47] Joanna Szmelter,et al. FVM 1.0: a nonhydrostatic finite-volume dynamical core for the IFS , 2019, Geoscientific Model Development.
[48] A. Arakawa,et al. Unification of the Anelastic and Quasi-Hydrostatic Systems of Equations , 2009 .
[49] Michael L. Minion,et al. A fourth-order auxiliary variable projection method for zero-Mach number gas dynamics , 2008, J. Comput. Phys..
[50] Henk A. van der Vorst,et al. Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems , 1992, SIAM J. Sci. Comput..
[51] Nigel Wood,et al. An inherently mass‐conserving iterative semi‐implicit semi‐Lagrangian discretization of the non‐hydrostatic vertical‐slice equations , 2010 .
[52] D. Balsara,et al. A divergence‐free semi‐implicit finite volume scheme for ideal, viscous, and resistive magnetohydrodynamics , 2018, International journal for numerical methods in fluids.
[53] Joanna Szmelter,et al. FVM 1.0: A nonhydrostatic finite-volume dynamical core formulation for IFS , 2018 .
[54] Pierre Bénard,et al. Integration of the fully elastic equations cast in the hydrostatic pressure terrain-following coordinate in the framework of the ARPEGE/Aladin NWP system , 1995 .
[55] G. Strang. On the Construction and Comparison of Difference Schemes , 1968 .
[56] P. Colella,et al. A Conservative Adaptive Projection Method for the Variable Density Incompressible Navier-Stokes Equations , 1998 .
[57] P. Colella,et al. A second-order projection method for the incompressible navier-stokes equations , 1989 .
[58] R. Klein. Asymptotics, structure, and integration of sound-proof atmospheric flow equations , 2009 .
[59] René Laprise,et al. The Euler Equations of Motion with Hydrostatic Pressure as an Independent Variable , 1992 .
[60] Omar M. Knio,et al. Regime of Validity of Soundproof Atmospheric Flow Models , 2010 .
[61] P. Smolarkiewicz,et al. On Forward-in-Time Differencing for Fluids: Extension to a Curvilinear Framework , 1993 .