A GPU accelerated level set reinitialization for an adaptive discontinuous Galerkin method

DOI10.1016/j.camwa.2016.05.025zbMath1359.65203OpenAlexW2433919184MaRDI QIDQ520866

Yong-Cai Geng, Sumit K. Garg

Publication date: 6 April 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.05.025

zbMATH Keywords

level setdiscontinuous GalerkinHamilton-JacobiGPU computinglocal time integration

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical algorithms for specific classes of architectures (65Y10)

Related Items

A simple iterative geometry-based interface-preserving reinitialization for the level set method, A high order flux reconstruction interface capturing method with a phase field preconditioning procedure, A volume-preserving reference map method for the level set representation, Execution of a parallel edge-based Navier–Stokes solver on commodity graphics processor units, A high-order elliptic PDE based level set reinitialisation method using a discontinuous Galerkin discretisation, Adaptive mesh refinement on graphics processing units for applications in gas dynamics, A coupled level-set and reference map method for interface representation with applications to two-phase flows simulation, A GPU accelerated level set reinitialization for an adaptive discontinuous Galerkin method, A high-order and interface-preserving discontinuous Galerkin method for level-set reinitialization, A local discontinuous Galerkin level set reinitialization with subcell stabilization on unstructured meshes, GPU-Accelerated Discontinuous Galerkin Methods on Polytopic Meshes

Uses Software

• CUDA
• OpenCL
• OCCA

Cites Work

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• A comparison of artificial viscosity, limiters, and filters, for high order discontinuous Galerkin solutions in nonlinear settings
• A GPU accelerated level set reinitialization for an adaptive discontinuous Galerkin method
• A local discontinuous Galerkin method for directly solving Hamilton-Jacobi equations
• Multirate explicit Adams methods for time integration of conservation laws
• Nodal discontinuous Galerkin methods on graphics processors
• Multirate linear multistep methods
• Reinterpretation and simplified implementation of a discontinuous Galerkin method for Hamilton-Jacobi equations
• Shock capturing with PDE-based artificial viscosity for DGFEM. I: Formulation
• A stabilized finite element method using a discontinuous level set approach for solving two phase incompressible flows
• An explicit construction of interpolation nodes on the simplex
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Spectral methods on triangles and other domains
• A level set approach for computing solutions to incompressible two-phase flow
• A discontinuous spectral element method for the level set equation
• A hybrid particle level set method for improved interface capturing
• Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods
• Adaptive mesh strategies for the spectral element method
• Monomial cubature rules since ``Stroud: A compilation. II
• Analysis of the discontinuous Galerkin method for Hamilton-Jacobi equations
• An improved level set method for incompressible two-phase flows
• A 3D strongly coupled implicit discontinuous Galerkin level set-based method for modeling two-phase flows
• A stabilized finite element method using a discontinuous level set approach for the computation of bubble dynamics
• Multirate timestepping methods for hyperbolic conservation laws
• A quadrature-free discontinuous Galerkin method for the level set equation
• Viscous Shock Capturing in a Time-Explicit Discontinuous Galerkin Method
• Discontinuous Galerkin Methods for Anisotropic Semidefinite Diffusion with Advection
• High-Order Essentially Nonoscillatory Schemes for Hamilton–Jacobi Equations
• High-Order WENO Schemes for Hamilton--Jacobi Equations on Triangular Meshes
• Monotonicity-Preserving Linear Multistep Methods
• Fast Sweeping Algorithms for a Class of Hamilton--Jacobi Equations
• Weighted ENO Schemes for Hamilton--Jacobi Equations
• A Discontinuous Galerkin Finite Element Method for Hamilton--Jacobi Equations
• A fast marching level set method for monotonically advancing fronts.
• Multirate time stepping for accelerating explicit discontinuous Galerkin computations with application to geophysical flows
• GPU Accelerated Discontinuous Galerkin Methods for Shallow Water Equations