Results 61 to 70 of about 121,260 (302)
Discontinuous Galerkin methods with Trefftz approximations
14 pages, 12 figures, preprint submitted at J Comput ...
Fritz Kretzschmar+3 more
openaire +2 more sources
Our article presents a new vertical‐slice test case for benchmarking atmospheric dynamical cores. The test case is based on the Eady frontogenesis problem, producing sharp fronts that provide a challenge for numerical models. This was not previously possible in a 2D vertical‐slice configuration unless the model is incompressible, so our test case ...
Hiroe Yamazaki, Colin J. Cotter
wiley +1 more source
High Order Discontinuous Galerkin Method [PDF]
Standard continuous Galerkin-based finite element methods have poor stability properties when applied to transport-dominated flow problems, so excessive numerical stabilization is needed.
Stamm, Benjamin
core
A Discontinuous Galerkin Method for Ideal Two-Fluid Plasma Equations
A discontinuous Galerkin method for the ideal 5 moment two-fluid plasma system is presented. The method uses a second or third order discontinuous Galerkin spatial discretization and a third order TVD Runge-Kutta time stepping scheme.
Ammar Hakim+8 more
core +1 more source
Modeling Floating Potential Conductors Using Discontinuous Galerkin Method
Isolated conductors appear in various electrostatic problems. In simulations, an equipotential condition with an undefined/floating potential value is enforced on the surface of isolated conductors.
Liang Chen, Ming Dong, Hakan Bagci
doaj +1 more source
Introduction. In this article, the problem of temperature distribution in an oil-bearing formation with a hydraulic fracture and a vertical injection well is numerically modeled. Materials and Methods. To describe the process of temperature distribution
Ruslan V. Zhalnin+3 more
doaj +1 more source
A moving discontinuous Galerkin finite element method for flows with interfaces
A moving discontinuous Galerkin finite element method with interface condition enforcement is formulated for flows with discontinuous interfaces. The underlying weak formulation enforces the interface condition separately from the conservation law, so ...
Andrew Corrigan, A. Kercher, D. Kessler
semanticscholar +1 more source
This article presents the principles of Finite Element‐Volume discretization and conducts an analysis of its properties and convergence orders. The discretization ensures local mass conservation, second‐order convergence for velocity, and first‐order convergence for pressure.
Maria Adela Puscas+3 more
wiley +1 more source
In this work, we apply a time-space adaptive discontinuous Galerkin method using the elliptic reconstruction technique with a robust (in P\'eclet number) elliptic error estimator in space, for the convection dominated parabolic problems with non-linear ...
Karasözen, Bülent, Uzunca, Murat
core +1 more source
On the convergence of a shock capturing discontinuous Galerkin method for nonlinear hyperbolic systems of conservation laws [PDF]
In this paper, we present a shock capturing discontinuous Galerkin (SC-DG) method for nonlinear systems of conservation laws in several space dimensions and analyze its stability and convergence.
May, Georg, Zakerzadeh, Mohammad
core +1 more source