Search results for "systems of hyperbolic balance laws"

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Adaptive discontinuous evolution Galerkin method for dry atmospheric flow

2014

We present a new adaptive genuinely multidimensional method within the framework of the discontinuous Galerkin method. The discontinuous evolution Galerkin (DEG) method couples a discontinuous Galerkin formulation with approximate evolution operators. The latter are constructed using the bicharacteristics of multidimensional hyperbolic systems, such that all of the infinitely many directions of wave propagation are considered explicitly. In order to take into account multiscale phenomena that typically appear in atmospheric flows nonlinear fluxes are split into a linear part governing the acoustic and gravitational waves and a nonlinear part that models advection. Time integration is realiz…

Backward differentiation formulasteady statesPhysics and Astronomy (miscellaneous)Wave propagationdry atmospheric convectionlarge time stepsystems of hyperbolic balance lawssymbols.namesakeDiscontinuous Galerkin methodApplied mathematicsevolution Galerkin schemesGalerkin methodMathematicssemi-implicit approximationNumerical AnalysisAdaptive mesh refinementApplied MathematicsEuler equationsRiemann solverComputer Science ApplicationsEuler equationsComputational MathematicsNonlinear systemClassical mechanicsModeling and SimulationsymbolsJournal of Computational Physics
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