Results 51 to 60 of about 21,624 (188)

A curved-element unstructured discontinuous Galerkin method on GPUs for the Euler equations

, 2012
In this work we consider Runge-Kutta discontinuous Galerkin methods (RKDG) for the solution of hyperbolic equations enabling high order discretization in space and time. We aim at an efficient implementation of DG for Euler equations on GPUs.
Schmidt, S., Schulz, V., Siebenborn, M.
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HP-multigrid as smoother algorithm for higher order discontinuous Galerkin discretizations of advection dominated flows. Part II. Optimization of the Runge-Kutta smoother [PDF]

, 2011
Using a detailed multilevel analysis of the complete hp-Multigrid as Smoother algorithm accurate predictions are obtained of the spectral radius and operator norms of the multigrid error transformation operator.
Rhebergen, S., Vegt, J.J.W. van der
core   +4 more sources

Rapid City‐Scale Earthquake Assessment by Combining Numerical Simulation and Sparse Sensing

Earthquake Spectra, Volume 42, Issue 2, May 2026.
This study proposes a framework to assess the seismic risk by integrating city‐scale numerical simulations with sensor data prediction. The study begins with advanced numerical simulations using two primary methods: the integrated earthquake simulator (IES) and the stochastic Green's function method.
Dongyang Tang, Hidekazu Usami, Saneiki Fujita, Reika Nomura, Kenjiro Terada, Susumu Ohno, Jia Guo, Masaaki Sakuraba, Kazuya Nojima, Shuji Moriguchi   +9 more
wiley   +1 more source

Discontinuous Galerkin Methods with Trefftz Approximation

, 2013
We present a novel Discontinuous Galerkin Finite Element Method for wave propagation problems. The method employs space-time Trefftz-type basis functions that satisfy the underlying partial differential equations and the respective interface boundary ...
Kretzschmar, Fritz, Schnepp, Sascha, Tsukerman, Igor, Weiland, Thomas   +3 more
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Application of High‐Order Direct Flux Reconstruction and Stiffness‐Resilient Time Integration to Simulations of Idealized Atmospheric Flows

International Journal for Numerical Methods in Fluids, Volume 98, Issue 4, Page 448-468, April 2026.
The proposed work implements a direct flux reconstruction method for spatial discretization and a stiffness‐resilient exponential time integration method for temporal discretization on the cube‐sphere grid. A space‐time tensor formalism is employed to provide a general representation in any curvilinear coordinate system. This combination enables highly
Stéphane Gaudreault, Christopher Subich, Shoyon Panday, Martin Charron, Vincent Magnoux, Valentin Dallerit, Mayya Tokman   +6 more
wiley   +1 more source

HIGH ORDER DISCONTINUOUS GALERKIN METHODS FOR 1D PARABOLIC EQUATIONS [PDF]

, 2009
Development of accurate and efficient numerical methods is an important task for many research areas. This work presents the numerical study of the Discontinuous Galerkin Finite Element (DG) methods in space and various ODE solvers in time applied to 1D ...
Izmirlioglu, Ahmet
core  

A fully-coupled discontinuous Galerkin method for two-phase flow in porous media with discontinuous capillary pressure [PDF]

, 2013
In this paper we formulate and test numerically a fully-coupled discontinuous Galerkin (DG) method for incompressible two-phase flow with discontinuous capillary pressure. The spatial discretization uses the symmetric interior penalty DG formulation with
Bastian, Peter
core   +1 more source

EVSS‐Based Simulation Techniques for the Viscoelastic Fluids With Pure Polymer Melts Using Three‐Field Approach

International Journal for Numerical Methods in Fluids, Volume 98, Issue 4, Page 492-509, April 2026.
This paper presents a finite element method for simulating highly viscoelastic flows of pure polymer melts using the Elastic Viscous Stress Splitting formulation. The method avoids higher‐order derivatives in the weak formulation by reformulating the convective term in the constitutive equation.
R. Ahmad, P. Zajac, S. Turek
wiley   +1 more source

A Parallelized 3D Geomechanical Solver for Fluid‐Induced Fault Slip in Poroelastic Media

International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 5, Page 2570-2586, 10 April 2026.
ABSTRACT We present a fully implicit formulation of coupled fluid flow and geomechanics for fluid injection/withdrawal in fractured reservoirs in the context of CO2$\textrm {CO}_2$ storage. Utilizing a Galerkin finite‐element approach, both flow and poroelasticity equations are discretized on a shared three‐dimensional mesh.
Emil Rinatovich Gallyamov, Guillaume Anciaux, Nicolas Richart, Jean‐François Molinari, Brice Lecampion   +4 more
wiley   +1 more source

A matrix-free high-order discontinuous Galerkin compressible Navier-Stokes solver: A performance comparison of compressible and incompressible formulations for turbulent incompressible flows

, 2018
Both compressible and incompressible Navier-Stokes solvers can be used and are used to solve incompressible turbulent flow problems. In the compressible case, the Mach number is then considered as a solver parameter that is set to a small value, $\mathrm{
Arndt, Arnold, Bassi, Beck, Beck, Brown, Cantwell, Carton de Wiart, Carton de Wiart, Chapelier, Del Alamo, Fehn, Fehn, Fehn, Fernandez, Fischer, Flad, Flad, Franciolini, Gassner, Guermond, Hager, Hartmann, Hesthaven, Hillewaert, Hindenlang, Joshi, Karniadakis, Kennedy, Kirby, Kopriva, Krank, Krank, Kronbichler, Kronbichler, Kronbichler, Kronbichler, Kubatko, Mengaldo, Moser, Moura, Orszag, Pazner, Steinmoeller, Taylor, Toulorge, Uranga, Vos, Wang   +48 more
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