high order discontinuous Galerkin
High order discontinuous Galerkin methods on surfaces
... analyze high order discontinuous Galerkin methods for second-order elliptic problems on implicitely defined surfaces in R 3 ...unified discontinuous Galerkin framework of ...
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High-order discontinuous Galerkin method for elastohydrodynamic lubrication line contact problems
... a high order Discontinuous Galerkin method is used to solve steady-state isothermal line contact elastohydrodynamic lubrication ...in order to demonstrate excellent accuracy for a ...
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A high-order Discontinuous Galerkin method for the seismic wave propagation
... of high-order Discontinuous Galerkin ...same order of accuracy in space and in ...higher order in space is realized by Lagrange interpolants, locally on triangles (in two ...
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Arbitrary high order discontinuous Galerkin methods for the shallow water and incompressible Navier-Stokes equations on unstructured staggered meshes
... In this thesis we present a new family of arbitrary high order semi-implicit space-time DG schemes for the solution of the incompressible Navier-Stokes equations on staggered unstructure[r] ...
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Numerical resolution of conservation laws with OpenCL
... In this paper we review three classical methods for solving hyperbolic systems of conservation laws: the struc- tured Finite Volume method (FV), the high order Discontinuous Galerkin (DG) ...
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A high-order hybridizable discontinuous galerkin method for gas kinetic equation
... of high-order discretization or automatically adaptive refinement in the spatial and velocity spaces [6, 7, ...the high-order discontinuous Galerkin (DG) finite element methods ...
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A discontinuous Galerkin method for poroelastic wave propagation: the two-dimensional case
... a high-order discontinuous Galerkin (DG) method for modelling wave propagation in coupled poroelastic-elastic ...and high-frequency regimes are ...
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A Parallel Implicit Reconstructed Discontinuous Galerkin Method for Compressible Flows on Hybrid Grids.
... the high-order discontinuous Galerkin methods lagged much far ...GMRES discontinuous Galerkin method for the compressible Navier-Stokes equations on 2D unstruc- tured grids was ...
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Semi-implicit schemes for compressible fluids in elastic pipes and a-posteriori sub-cell finite volume limiting techniques for semi-implicit Discontinuous Galerkin schemes for hyperbolic conservation laws on staggered meshes
... in order to analyse their properties and in order to show the potential applications of this family of scheme in the fields of com- putational fluid ...arbitrary high order accurate Discon- ...
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Asynchronous communication in spectral-element and discontinuous Galerkin methods for atmospheric dynamics – a case study using the High-Order Methods Modeling Environment (HOMME-homme_dg_branch)
... In this paper, we discuss the implementation of non- blocking asynchronous communication in HOMME for both the SE and DG methods. We highlight that our method pro- vides some data movement to be performed, even in the ...
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A Parallel Implicit Reconstructed Discontinuous Galerkin Method for Compressible Turbulent Flows on 3D Hybrid Grids.
... this discontinuous Galerkin method by choosing reconstruction schemes to compute the derivatives, offer the insight why the DG methods are a better approach than the finite volume methods based on either ...
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Reformulation of 2D DG2 Scheme for Shallow Water Modelling
... philosophy, discontinuous Galerkin method is naturally an extension to high-order accuracy for a set of coefficients, that are evolved by flux balance and local data, which define a local ...
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Numerical Methods for Compressible Multi-phase flows with Surface Tension
... of high order path-conservative schemes for non-conservative systems of the type ...the Discontinuous Galerkin discretiza- tion ...effective high order accurate in space and time ...
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A high-order hybridizable discontinuous Galerkin method with fast convergence to steady-state solutions of the gas kinetic equation
... the high-order hybridizable discontinuous Galerkin (HDG) method is used to find the steady-state solution of the linearized Bhatnagar–Gross–Krook equation on two-dimensional triangular ...
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Discontinuous Galerkin finite element approximation of nonlinear second order elliptic and hyperbolic systems
... form. Discontinuous Galerkin finite element methods were introduced in the early 1970s for the numerical solution of first-order hyperbolic ...of discontinuous Galerkin methods due to ...
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A Hybrid Reconstructed Discontinuous Galerkin and Continuous Galerkin Finite Element Method for Incompressible Flows on Unstructured Grids.
... In order to reduce high costs associated with the DGM, Dumbser et ...the discontinuous Galerkin method by increasing the order of the underlying polynomial ...classical high ...
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A High Order Nodal Discontinuous Galerkin Method for 1D Morphodynamic Modelling
... In literature, different models have been proposed in order to quantify the interaction between sediment transport and water flow. To progress on quantifying such interactions, it becomes necessary to develop ...
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Discontinuous galerkin flood model formulation: Luxury or necessity?
... the Discontinuous Galerkin (DG) method, a local Godunov-type for- mulation with arbitrary order of accuracy may be intrinsically derived for the SWE providing thereby an even more complex and ...
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Comparison of high order algorithms in Aerosol and Aghora for compressible flows
... a high order finite element library based on both continuous and discontinuous elements on hybrid meshes involving triangles and quadrangles in two dimensions and tetrahedra, hexahedra and prisms in ...
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Regional wave propagation using the discontinuous Galerkin method
... The first regional to global scale simulations based on spherically symmetric Earth models, were obtained by the summation of normal modes (Alterman et al., 1959). The approach was extended to account for effects of 3-D ...
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