Found 542 Documents (Results 1–100)
A note on higher-order and nonlinear limiting approaches for continuously bounds-preserving discontinuous Galerkin methods. (English) Zbl 07922801
Hybridized formulations of flux reconstruction schemes for advection-diffusion problems. (English) Zbl 07922800
A new class of efficient high order semi-Lagrangian IMEX discontinuous Galerkin methods on staggered unstructured meshes. (English) Zbl 07922783
A high-order discontinuous Galerkin method for one-fluid two-temperature Euler non-equilibrium hydrodynamics. (English) Zbl 07912827
Very high-order accurate discontinuous Galerkin method for curved boundaries with polygonal meshes. (English) Zbl 07909815
High-order ADER discontinuous Galerkin schemes for a symmetric hyperbolic model of compressible barotropic two-fluid flows. (English) Zbl 07902387
Stabilizing discontinuous Galerkin methods using Dafermos’ entropy rate criterion. II: Systems of conservation laws and entropy inequality predictors. (English) Zbl 07900960
Preconditioned iterative solvers for constrained high-order implicit shock tracking methods. (English) Zbl 07899004
GQL-based bound-preserving and locally divergence-free central discontinuous Galerkin schemes for relativistic magnetohydrodynamics. (English) Zbl 07898979
Mass lumping the dual cell method to arbitrary polynomial degree for acoustic and electromagnetic waves. (English) Zbl 07880867
A high-order discontinuous Galerkin approach for physics-based thermospheric modeling. (English) Zbl 07878917
Positivity-preserving discontinuous Galerkin scheme for linear hyperbolic equations with characteristics-informed augmentation. (English) Zbl 07878062
Fully higher-order coupling of finite element and level set methods for two-phase flow with a new explicit projection method. (English) Zbl 07875890
MSC:
76-XX
Optimal error estimates of ultra-weak discontinuous Galerkin methods with generalized numerical fluxes for multi-dimensional convection-diffusion and biharmonic equations. (English) Zbl 07872155
An unfitted high-order HDG method for two-fluid Stokes flow with exact NURBS geometries. (English) Zbl 07870138
Continuously bounds-preserving discontinuous Galerkin methods for hyperbolic conservation laws. (English) Zbl 07863632
A high-order diffused-interface approach for two-phase compressible flow simulations using a discontinuous Galerkin framework. (English) Zbl 07863612
A simple and efficient convex optimization based bound-preserving high order accurate limiter for Cahn-Hilliard-Navier-Stokes system. (English) Zbl 07860857
Arbitrary high-order fully-decoupled numerical schemes for phase-field models of two-phase incompressible flows. (English) Zbl 07846935
A provable positivity-preserving local discontinuous Galerkin method for the viscous and resistive MHD equations. (English) Zbl 07846920
High order entropy stable schemes for the quasi-one-dimensional shallow water and compressible Euler equations. (English) Zbl 07842862
The Runge-Kutta discontinuous Galerkin method with compact stencils for hyperbolic conservation laws. (English) Zbl 07837063
MSC:
65Mxx
An efficient high-order solver for diffusion equations with strong anisotropy on non-anisotropy-aligned meshes. (English) Zbl 07837050
High order conservative LDG-IMEX methods for the degenerate nonlinear non-equilibrium radiation diffusion problems. (English) Zbl 07833833
High-order hybrid DG-FV framework for compressible multi-fluid problems on unstructured meshes. (English) Zbl 07833818
The effect of basis polynomial degree on the performance of compressible flow simulations employing a split-form DG method. (English) Zbl 07833783
MSC:
76-XX
A high-order domain preserving DG method for the two-layer shallow water equations. (English) Zbl 07832236
MSC:
76-XX
A cylindrical discontinuous Galerkin method for compressible flows in axisymmetric geometry. (English) Zbl 07832231
MSC:
76-XX
Shock capturing for a high-order ALE discontinuous Galerkin method with applications to fluid flows in time-dependent domains. (English) Zbl 07832230
MSC:
76-XX
A space-time high-order implicit shock tracking method for shock-dominated unsteady flows. (English) Zbl 07829515
Anisotropic mesh adaptation for high-order finite elements spaces with the log-simplex method. Application to discontinuous Galerkin methods. (English) Zbl 07829502
High order positivity-preserving nodal discontinuous Galerkin methods for anisotropic diffusion problems. (English) Zbl 07829100
A discontinuous Galerkin approach for Atmospheric flows with implicit condensation. (English) Zbl 07819060
High order entropy stable discontinuous Galerkin spectral element methods through subcell limiting. (English) Zbl 07797656
eXtended hybridizable discontinuous Galerkin (X-HDG) method for linear convection-diffusion equations on unfitted domains. (English) Zbl 07797645
High-order arbitrary-Lagrangian-Eulerian schemes on crazy moving Voronoi meshes. (English) Zbl 07921304
Albi, Giacomo (ed.) et al., Advances in numerical methods for hyperbolic balance laws and related problems. Based on talks given at the young researchers’ conference “Numerical aspects of hyperbolic balance laws and related problems”, University of Verona, Verona, Italy, December 2021. Cham: Springer. SEMA SIMAI Springer Ser. 32, 99-119 (2023).
Adaptive model reduction of high-order solutions of compressible flows via optimal transport. (English) Zbl 1541.65162
Multi-level solution strategies for implicit time discontinuous Galerkin discretizations. (English) Zbl 1541.65106
Truncation error-based anisotropic \(p\)-adaptation for unsteady flows for high-order discontinuous Galerkin methods. (English) Zbl 1541.65109
A high order positivity-preserving discontinuous Galerkin remapping method based on a moving mesh solver for ALE simulation of the compressible fluid flow. (English) Zbl 1529.65068
Discontinuous Galerkin spectral element method for shock capturing with summation by parts properties. (English) Zbl 07785566
A new symmetric interior penalty discontinuous Galerkin formulation for the Serre-Green-Naghdi equations. (English) Zbl 07776971
Fourier continuation discontinuous Galerkin methods for linear hyperbolic problems. (English) Zbl 1538.65393
Jump penalty stabilization techniques for under-resolved turbulence in discontinuous Galerkin schemes. (English) Zbl 07771306
High-order non-conforming discontinuous Galerkin methods for the acoustic conservation equations. (English) Zbl 07769148
High-order implicit shock tracking boundary conditions for flows with parametrized shocks. (English) Zbl 07766242
Fully-discrete spatial eigenanalysis of discontinuous spectral element methods: insights into well-resolved and under-resolved vortical flows. (English) Zbl 07761069
MSC:
76-XX
A positivity-preserving implicit-explicit scheme with high order polynomial basis for compressible Navier-Stokes equations. (English) Zbl 07748073
High-order projection-based upwind method for implicit large eddy simulation. (English) Zbl 07748071
Investigation of aspect ratio effects on flow characteristics and vorticity generation in shock-induced rectangular bubble. (English) Zbl 1522.76100
On the conservation property of positivity-preserving discontinuous Galerkin methods for stationary hyperbolic equations. (English) Zbl 07715234
Accelerating high order discontinuous Galerkin solvers using neural networks: 3D compressible Navier-Stokes equations. (English) Zbl 07705896
An all Froude high order IMEX scheme for the shallow water equations on unstructured Voronoi meshes. (English) Zbl 07699012
Stabilizing discontinuous Galerkin methods using Dafermos’ entropy rate criterion. I: One-dimensional conservation laws. (English) Zbl 07698861
Algebraic modifications of the \(k\)-\(\widetilde{\omega}\) and Spalart-Allmaras turbulence models to predict bypass and separation-induced transition. (English) Zbl 1521.76148
A sub-element adaptive shock capturing approach for discontinuous Galerkin methods. (English) Zbl 1524.76333
High order discontinuous Galerkin simulation of hypersonic shock-boundary layer interaction using subcell limiting approach. (English) Zbl 07690215
Assessment of solving the RANS equations with two-equation eddy-viscosity models using high-order accurate discretization. (English) Zbl 07679177
A positivity preserving strategy for entropy stable discontinuous Galerkin discretizations of the compressible Euler and Navier-Stokes equations. (English) Zbl 07649271
An enriched immersed finite element method for interface problems with nonhomogeneous jump conditions. (English) Zbl 1536.65133
A discontinuous Galerkin spectral element method for a nonconservative compressible multicomponent flow model. (English) Zbl 07620373
On the contribution of wall distance fields to the adjoint of a RANS model. (English) Zbl 1533.76068
An efficient high-order numerical solver for diffusion equations with strong anisotropy. (English) Zbl 1511.76054
The spectral difference Raviart-Thomas method for two and three-dimensional elements and its connection with the flux reconstruction formulation. (English) Zbl 1503.65269
Adaptive least-squares, discontinuous Petrov-Galerkin, and hybrid high-order methods. (English) Zbl 1513.74150
Schröder, Jörg (ed.) et al., Non-standard discretisation methods in solid mechanics. Cham: Springer. Lect. Notes Appl. Comput. Mech. 98, 107-147 (2022).
A high-order direct discontinuous Galerkin method for variable density incompressible flows. (English) Zbl 1500.65076
Accuracy-enhancement of discontinuous Galerkin methods for PDEs containing high order spatial derivatives. (English) Zbl 1497.65183
A bound-preserving and positivity-preserving path-conservative discontinuous Galerkin method for solving five-equation model of compressible two-medium flows. (English) Zbl 1496.65159
Reviewer: Bülent Karasözen (Ankara)
Numerical approximation of compressible two-phase six-equation model using CE/SE and RKDG schemes. (English) Zbl 1515.76145
High-order discontinuous Galerkin approximation for a three-phase incompressible Navier-Stokes/Cahn-Hilliard model. (English) Zbl 1521.76883
\(p\)-multilevel preconditioners for HHO discretizations of the Stokes equations with static condensation. (English) Zbl 1513.65053
A unifying algebraic framework for discontinuous Galerkin and flux reconstruction methods based on the summation-by-parts property. (English) Zbl 1492.65281
Three-dimensional discontinuous Galerkin based high-order gas-kinetic scheme and GPU implementation. (English) Zbl 1521.76374
High order conservative positivity-preserving discontinuous Galerkin method for stationary hyperbolic equations. (English) Zbl 07561087
A reconstructed discontinuous Galerkin method based on variational formulation for compressible flows. (English) Zbl 07561083
Efficient hyperreduction of high-order discontinuous Galerkin methods: element-wise and point-wise reduced quadrature formulations. (English) Zbl 07561076
High order asymptotic preserving discontinuous Galerkin methods for gray radiative transfer equations. (English) Zbl 07536794
Provably stable flux reconstruction high-order methods on curvilinear elements. (English) Zbl 07536761
Development of a balanced adaptive time-stepping strategy based on an implicit JFNK-DG compressible flow solver. (English) Zbl 1499.76086
Superconvergent interpolatory HDG methods for reaction diffusion equations. II: HHO-inspired methods. (English) Zbl 1499.65488
Modeling wave propagation in elastic solids via high-order accurate implicit-mesh discontinuous Galerkin methods. (English) Zbl 1507.74474
A discontinuous Galerkin method for shock capturing using a mixed high-order and sub-grid low-order approximation space. (English) Zbl 07524766
An entropy-stable discontinuous Galerkin approximation of the Spalart-Allmaras turbulence model for the compressible Reynolds averaged Navier-Stokes equations. (English) Zbl 07518083
A robust, high-order implicit shock tracking method for simulation of complex, high-speed flows. (English) Zbl 07518060
High order entropy stable and positivity-preserving discontinuous Galerkin method for the nonlocal electron heat transport model. (English) Zbl 07518051
A posteriori finite-volume local subcell correction of high-order discontinuous Galerkin schemes for the nonlinear shallow-water equations. (English) Zbl 07517733
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