Search Results - "Giraldo, F.X."

A study of spectral element and discontinuous Galerkin methods for the Navier–Stokes equations in nonhydrostatic mesoscale atmospheric modeling: Equation sets and test cases by Giraldo, F.X., Restelli, M.

“…We present spectral element (SE) and discontinuous Galerkin (DG) solutions of the Euler and compressible Navier–Stokes (NS) equations for stratified fluid flow…”
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Nodal High-Order Discontinuous Galerkin Methods for the Spherical Shallow Water Equations by Giraldo, F.X., Hesthaven, J.S., Warburton, T.

“…We present a high-order discontinuous Galerkin method for the solution of the shallow water equations on the sphere. To overcome well-known problems with polar…”
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A nodal triangle-based spectral element method for the shallow water equations on the sphere by Giraldo, F.X., Warburton, T.

“…A nodal triangle-based spectral element (SE) method for the shallow water equations on the sphere is presented. The original SE method uses quadrilateral…”
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Adaptive discontinuous evolution Galerkin method for dry atmospheric flow by Yelash, L., Müller, A., Lukáčová-Medvid'ová, M., Giraldo, F.X., Wirth, V.

“…We present a new adaptive genuinely multidimensional method within the framework of the discontinuous Galerkin method. The discontinuous evolution Galerkin…”
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Analysis of the Turkel–Zwas Scheme for the Two-Dimensional Shallow Water Equations in Spherical Coordinates by Neta, B, Giraldo, F.X, Navon, I.M

“…A linear analysis of the shallow water equations in spherical coordinates for the Turkel–Zwas (T–Z) explicit large time-step scheme is presented. This paper…”
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Variational multiscale stabilization of high-order spectral elements for the advection–diffusion equation by Marras, S., Kelly, J.F., Giraldo, F.X., Vázquez, M.

“…One major issue in the accurate solution of advection-dominated problems by means of high-order methods is the ability of the solver to maintain monotonicity…”
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High-order discontinuous element-based schemes for the inviscid shallow water equations: Spectral multidomain penalty and discontinuous Galerkin methods by Escobar-Vargas, J.A., Diamessis, P.J., Giraldo, F.X.

“…Two commonly used types of high-order-accuracy element-based schemes, collocation-based spectral multidomain penalty methods (SMPM) and nodal discontinuous…”
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Strong and weak Lagrange-Galerkin spectral element methods for the shallow water equations by Giraldo, F.X.

“…The Lagrange-Galerkin spectral element method for the two-dimensional shallow water equations is presented. The equations are written in conservation form and…”
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Hybrid Eulerian-Lagrangian Semi-Implicit Time-Integrators by Giraldo, F.X.

“…Hybrid Eulerian-Lagrangian semi-implicit time-integrators (HELSI) are presented which use the standard semi-implicit formulation as their starting point. The…”
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A spectral element semi-Lagrangian (SESL) method for the spherical shallow water equations by Giraldo, F.X., Perot, J.B., Fischer, P.F.

“…A spectral element semi-Lagrangian (SESL) method for the shallow water equations on the sphere is presented. The sphere is discretized using a hexahedral grid…”
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Lagrange–Galerkin Methods on Spherical Geodesic Grids by Giraldo, Francis X.

“…Lagrange–Galerkin finite element methods that are high-order accurate, exactly integrable, and highly efficient are presented. This paper derives generalized…”
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Stability analysis for Eulerian and semi-Lagrangian finite-element formulation of the advection-diffusion equation by Giraldo, F.X., Neta, B.

“…This paper analyzes the stability of the finite-element approximation to the linearized two-dimensional advection-diffusion equation. Bilinear basis functions…”
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