A Blended Soundproof-to-Compressible Numerical Model for Small- to Mesoscale Atmospheric Dynamics
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Rupert Klein | Tommaso Benacchio | R. Klein | T. Benacchio | W. O'Neill | Warren P. O'Neill | Tommaso Benacchio
[1] 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..
[2] R. Stull,et al. A Compressible Nonhydrostatic Cell-Integrated Semi-Lagrangian Semi-Implicit Solver (CSLAM-NH) with Consistent and Conservative Transport , 2014 .
[3] Phillip Colella,et al. An efficient second-order projection method for viscous incompressible flow , 1991 .
[4] Michael L. Minion,et al. A fourth-order auxiliary variable projection method for zero-Mach number gas dynamics , 2008, J. Comput. Phys..
[5] Andreas Dedner,et al. Comparison of dynamical cores for NWP models , 2012 .
[6] Louis J. Wicker,et al. Numerical solutions of a non‐linear density current: A benchmark solution and comparisons , 1993 .
[7] P. Colella,et al. A Conservative Adaptive Projection Method for the Variable Density Incompressible Navier-Stokes Equations , 1998 .
[8] A. Arakawa,et al. Unification of the Anelastic and Quasi-Hydrostatic Systems of Equations , 2009 .
[9] Omar M. Knio,et al. Regime of Validity of Soundproof Atmospheric Flow Models , 2010 .
[10] R. Klein,et al. Gravity waves, scale asymptotics and the pseudo-incompressible equations , 2010, Journal of Fluid Mechanics.
[11] Terry Davies,et al. Validity of anelastic and other equation sets as inferred from normal‐mode analysis , 2003 .
[12] Joanna Szmelter,et al. An edge-based unstructured mesh framework for atmospheric flows , 2011 .
[13] Dale R. Durran,et al. Implicit–Explicit Multistep Methods for Fast-Wave–Slow-Wave Problems , 2012 .
[14] Luca Bonaventura,et al. A Semi-implicit Semi-Lagrangian Scheme Using the Height Coordinate for a Nonhydrostatic and Fully Elastic Model of Atmospheric Flows , 2000 .
[15] Slobodan Nickovic,et al. An Alternative Approach to Nonhydrostatic Modeling , 2001 .
[16] A. Staniforth,et al. A new dynamical core for the Met Office's global and regional modelling of the atmosphere , 2005 .
[17] Rupert Klein,et al. Thermodynamic Consistency of a Pseudoincompressible Approximation for General Equations of State , 2012 .
[18] Cathy Hohenegger,et al. Predictability and Error Growth Dynamics in Cloud-Resolving Models , 2007 .
[19] M. Diamantakis,et al. An inherently mass‐conserving semi‐implicit semi‐Lagrangian discretization of the deep‐atmosphere global non‐hydrostatic equations , 2014 .
[20] A. S. Almgren,et al. Low mach number modeling of type Ia supernovae. I. Hydrodynamics , 2005 .
[21] Hester Bijl,et al. A Unified Method for Computing Incompressible and Compressible Flows in Boundary-Fitted Coordinates , 1998 .
[22] Rupert Klein,et al. Regular Article: Extension of Finite Volume Compressible Flow Solvers to Multi-dimensional, Variable Density Zero Mach Number Flows , 1999 .
[23] Stefan Vater,et al. Stability of a Cartesian grid projection method for zero Froude number shallow water flows , 2009, Numerische Mathematik.
[24] Scott R. Kohn,et al. Managing complex data and geometry in parallel structured AMR applications , 2006, Engineering with Computers.
[25] P. Smolarkiewicz,et al. Conservative integrals of adiabatic Durran's equations , 2008 .
[26] R. Courant,et al. Über die partiellen Differenzengleichungen der mathematischen Physik , 1928 .
[27] P. R. Bannon,et al. A Comparison of Compressible and Anelastic Models of Deep Dry Convection , 2008 .
[28] 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 .
[29] R. Hemler,et al. A Scale Analysis of Deep Moist Convection and Some Related Numerical Calculations , 1982 .
[30] Jian‐Guo Liu,et al. An All-Speed Asymptotic-Preserving Method for the Isentropic Euler and Navier-Stokes Equations , 2012 .
[31] R. Klein,et al. Extension of Finite Volume Compressible Flow Solvers to Multi-dimensional, Variable Density Zero Mach Number Flows , 2000 .
[32] Chi-Wang Shu,et al. Strong Stability-Preserving High-Order Time Discretization Methods , 2001, SIAM Rev..
[33] Mariano Hortal,et al. The development and testing of a new two‐time‐level semi‐Lagrangian scheme (SETTLS) in the ECMWF forecast model , 2002 .
[34] Geoffrey M. Vasil,et al. ENERGY CONSERVATION AND GRAVITY WAVES IN SOUND-PROOF TREATMENTS OF STELLAR INTERIORS. II. LAGRANGIAN CONSTRAINED ANALYSIS , 2013, 1303.0005.
[35] A. Caceres,et al. Mapping Initial Hydrostatic Models in Godunov Codes , 2002 .
[36] Andrzej A. Wyszogrodzki,et al. An implicitly balanced hurricane model with physics-based preconditioning , 2005 .
[37] Rüdiger Weiner,et al. Partially implicit peer methods for the compressible Euler equations , 2011, J. Comput. Phys..
[38] G. Zängl,et al. The ICON (ICOsahedral Non‐hydrostatic) modelling framework of DWD and MPI‐M: Description of the non‐hydrostatic dynamical core , 2015 .
[39] D. Durran. A physically motivated approach for filtering acoustic waves from the equations governing compressible stratified flow , 2008, Journal of Fluid Mechanics.
[40] Rupert Klein,et al. Scale-Dependent Models for Atmospheric Flows , 2010 .
[41] Francis X. Giraldo,et al. Continuous and discontinuous Galerkin methods for a scalable three-dimensional nonhydrostatic atmospheric model: Limited-area mode , 2012, J. Comput. Phys..
[42] Robert D. Falgout,et al. The Design and Implementation of hypre, a Library of Parallel High Performance Preconditioners , 2006 .
[43] Ronald Fedkiw,et al. A method for avoiding the acoustic time step restriction in compressible flow , 2009, J. Comput. Phys..
[44] William C. Skamarock,et al. A time-split nonhydrostatic atmospheric model for weather research and forecasting applications , 2008, J. Comput. Phys..
[45] Christian Kühnlein,et al. A consistent framework for discrete integrations of soundproof and compressible PDEs of atmospheric dynamics , 2014, J. Comput. Phys..
[46] Nigel Wood,et al. An inherently mass‐conserving semi‐implicit semi‐Lagrangian discretisation of the shallow‐water equations on the sphere , 2009 .
[47] Florence Rabier,et al. Overview of global data assimilation developments in numerical weather‐prediction centres , 2005 .
[48] J. Prusa,et al. EULAG, a computational model for multiscale flows , 2008 .
[49] William C. Skamarock,et al. Efficiency and Accuracy of the Klemp-Wilhelmson Time-Splitting Technique , 1994 .
[50] C. Konor. Design of a Dynamical Core Based on the Nonhydrostatic “Unified System” of Equations* , 2014 .
[51] Donald Greenspan,et al. Pressure method for the numerical solution of transient, compressible fluid flows , 1984 .
[52] Emil M. Constantinescu,et al. Implicit-Explicit Formulations of a Three-Dimensional Nonhydrostatic Unified Model of the Atmosphere (NUMA) , 2013, SIAM J. Sci. Comput..
[53] Francis X. Giraldo,et al. Continuous and Discontinuous Galerkin Methods for a Scalable 3D Nonhydrostatic Atmospheric Model: limited-area mode , 2012 .
[54] D. Durran. Improving the Anelastic Approximation , 1989 .
[55] R. Klein. Asymptotics, structure, and integration of sound-proof atmospheric flow equations , 2009 .
[56] M. J. P. Cullen,et al. Modelling atmospheric flows , 2007, Acta Numerica.
[57] Andreas Dedner,et al. Comparison of dynamical cores for NWP models: comparison of COSMO and Dune , 2013 .
[58] P. R. Bannon. On the anelastic approximation for a compressible atmosphere , 1996 .
[59] Rupert Klein,et al. Well balanced finite volume methods for nearly hydrostatic flows , 2004 .
[60] Rupert Klein,et al. Asymptotic Analyses for Atmospheric Flows and the Construction of Asymptotically Adaptive Numerical Methods , 2000 .
[61] T. Sonar,et al. Asymptotic adaptive methods for multi-scale problems in fluid mechanics , 2001 .
[62] Phillip Colella,et al. An anelastic allspeed projection method for gravitationally stratified flows , 2006, J. Comput. Phys..
[63] Akio Arakawa,et al. Computational Design of the Basic Dynamical Processes of the UCLA General Circulation Model , 1977 .
[64] R. LeVeque. Finite Volume Methods for Hyperbolic Problems: Characteristics and Riemann Problems for Linear Hyperbolic Equations , 2002 .
[65] Joseph M. Prusa,et al. Multi-scale waves in sound-proof global simulations with EULAG , 2011 .
[66] J. Dukowicz. Evaluation of Various Approximations in Atmosphere and Ocean Modeling Based on an Exact Treatment of Gravity Wave Dispersion , 2013 .
[67] R. Klein,et al. Using the sound-proof limit for balanced data initialization , 2014 .
[68] Rüdiger Weiner,et al. Explicit Two-Step Peer Methods for the Compressible Euler Equations , 2009 .
[69] S. Vater. A multigrid-based multiscale numerical scheme for shallow water flows at low froude number , 2013 .
[70] A. S. Almgren,et al. MAESTRO: AN ADAPTIVE LOW MACH NUMBER HYDRODYNAMICS ALGORITHM FOR STELLAR FLOWS , 2010, 1005.0112.
[71] C. Munz,et al. The extension of incompressible flow solvers to the weakly compressible regime , 2003 .
[72] Michael Zingale,et al. Low Mach Number Modeling of Type Ia Supernovae , 2005 .