Stabilized finite element methods. I: Application to the advective-diffusive model
Computer Methods in Applied Mechanics and Engineering
Journal of Computational Physics
Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations
Journal of Computational Physics
Stabilization Techniques and Subgrid Scales Capturing
Stabilization Techniques and Subgrid Scales Capturing
Nonhydrostatic icosahedral atmospheric model (NICAM) for global cloud resolving simulations
Journal of Computational Physics
A discontinuous Galerkin method for the shallow water equations in spherical triangular coordinates
Journal of Computational Physics
A massively parallel fractional step solver for incompressible flows
Journal of Computational Physics
Computational performance of ultra-high-resolution capability in the Community Earth System Model
International Journal of High Performance Computing Applications
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Simulations of moist convection by a variational multiscale stabilized finite element method
Journal of Computational Physics
Hi-index | 31.46 |
We present a compressible version of the variational multiscale stabilization (VMS) method applied to the finite element (FE) solution of the Euler equations for nonhydrostatic stratified flows. This paper is meant to verify how the algorithm performs when solving problems in the framework of nonhydrostatic atmospheric dynamics. This effort is justified by the previously observed good performance of VMS and by the advantages that a compact Galerkin formulation offers on massively parallel architectures - a paradigm for both computational fluid dynamics (CFD) and numerical weather prediction (NWP) practitioners. We also propose a simple technique to construct a well-balanced approximation of the dominant hydrostatics that, if not properly discretized, may cause unacceptable vertical oscillations. This is a relevant problem in NWP, especially in the proximity of steep topography. To evaluate the performance of the method for stratified environments, six standard 2D and two 3D test cases are selected. Of these, two admit a semi-analytic solution, while the remaining six are non-steady and non-linear thermal problems with dominant buoyancy effects that challenge the algorithm in terms of stability.