Time-Splitting Methods for Elastic Models Using Forward Time Schemes

By Louis J. Wicker, William C. Skamarock. 2002

989 citations recorded by the source corpus.

Subfields: Computational Mechanics, Electrical and Electronic Engineering, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/edf3b36dde18006c61bff7577afa898eac603922

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In Computational Mechanics

In Electrical and Electronic Engineering

In Statistical and Nonlinear Physics

Citations in the corpus

Nonhydrostatic icosahedral atmospheric model (NICAM) for global cloud resolving simulations (2008, background): “4), and allow the 3rdorder Runge–Kutta scheme as an option for enhanced numerical stability [62,63].”
Operational Convective-Scale Numerical Weather Prediction with the COSMO Model: Description and Sensitivities (2011, methodology): “The new dynamical core uses the time-splitting approach of Wicker and Skamarock (2002).”
The relationship between lightning activity and ice fluxes in thunderstorms (2008, methodology): “[25] To verify the nonprecipitation ice mass flux estimate (product of divergence and nonprecipitation ice colder than � 5C with reflectivities smaller than 20 dBZ and with divergence greater than 0.001 s � 1 ), it was tested with model output from a storm simulation with the Weather Research and Fo”
Evaluating Mesoscale NWP Models Using Kinetic Energy Spectra (2004, background): “Yuan and Hamilton (1994), in an analytic and modeling study using the 2D shallowwater equations, found that there is a broadband interaction between modes in the energy cascade associated with the transfer of energy between divergent modes; the inertia-gravity modes in each spectral band in the shal”
Nonhydrostatic, Three-Dimensional Perturbations to Balanced, Hurricane-Like Vortices. Part II: Symmetric Response and Nonlinear Simulations (2003, background): “While its use as a reliable research and forecast tool for fullphysics simulations is still a number of years in the future, the dynamic core (which solves the advection, diffusion, and compressibility terms) has undergone considerable evaluation (Wicker and Skamarock 2002; Takemi and Rotunno 2003).”
Fully coupled “online” chemistry within the WRF model (2005, methodology): “The time integration scheme and the advection scheme is described in Wicker and Skamarock (2002).”
A Numerical Investigation of the Effects of Dry Air Aloft on Deep Convection (2009, methodology): “The integration of the governing equations was accomplished using the Runge–Kutta technique as formulated for compressible models (Wicker and Skamarock 2002), with ﬁfth-order spatial discretization and no additional artiﬁcial diffusion.”
How Do Outer Spiral Rainbands Affect Tropical Cyclone Structure and Intensity (2008, methodology): “and mass coordinates in the vertical and are solved numerically with an efficient forward-in-time, explicit time-splitting scheme that is similar to the scheme of Wicker and Skamarock (2002). A fifth-order (second-”
The Weather Research and Forecast Model: software architecture and performance [presentation] (2005, methodology): “The NCAR-developed Advanced Research WRF (ARW; originally the Eulerian Mass, or “EM” core) uses a time-split high-order Runga-Kutta method to integrate a conservative formulation of the compressible non-hydrostatic equations [16].”
A Multiscale Nonhydrostatic Atmospheric Model Using Centroidal Voronoi Tesselations and C-Grid Staggering (2012, positive): “We use the third-order Runge–Kutta scheme and explicit time splitting as described in Wicker and Skamarock (2002).”
Overview of the Meso-NH model version 5.4 and its applications (2018, methodology): “A common strategy to improve computational efficiency is to use explicit time-splitting schemes as shown by Wicker and Skamarock (2002).”