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Develop and evaluate stable split-explicit time-splitting algorithms for integrating compressible elastic equations and nonhydrostatic atmospheric flows.

August 1, 2002Monthly Weather ReviewOpen Access

Time-Splitting Methods for Elastic Models Using Forward Time Schemes

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Develop and evaluate stable split-explicit time-splitting algorithms for integrating compressible elastic equations and nonhydrostatic atmospheric flows.
Formulated two time-splitting schemes combining forward advection methods (Crowley schemes and a third-order Runge-Kutta method) with a forward-backward integration technique for fast acoustic and gravity wave modes.
Tested the numerical schemes using both linear and nonlinear benchmarks to assess stability, time-step limits, and spatial discretization flexibility.
Enabled the use of both centered and upwind-biased advection schemes while supporting larger stable time steps and generating higher solution accuracy than previous techniques.
Identified the third-order Runge-Kutta time-splitting method as offering the best balance of computational efficiency and mathematical simplicity for compressible atmospheric models.

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Implication

Computational study demonstrates improved accuracy and larger time steps in compressible atmospheric simulations, indicating enhanced efficiency for nonhydrostatic models.

Cite This Study

Wicker et al. (2002) studied this question.

synapsesocial.com/papers/69d720ab8a0e2c5879bef50e https://doi.org/10.1175/1520-0493(2002)130<2088:tsmfem>2.0.co;2

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Implication

Computational study demonstrates improved accuracy and larger time steps in compressible atmospheric simulations, indicating enhanced efficiency for nonhydrostatic models.

Time-Splitting Methods for Elastic Models Using Forward Time Schemes

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Implication

Cite This Study

Time-Splitting Methods for Elastic Models Using Forward Time Schemes

Key Points

Discussion

Implication

Cite This Study

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