A nearly-conservative high-order Lagrange-Galerkin method for the resolution of scalar convection-dominated equations in non-divergence-free velocity fields
From MaRDI portal
Publication:2020960
DOI10.1016/j.cma.2020.113366zbMath1506.65150OpenAlexW3081805467MaRDI QIDQ2020960
Rodolfo Bermejo, Manuel Colera, Jaime Carpio
Publication date: 26 April 2021
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2020.113366
finite element methodhigh-order methodsconvection-dominated problemsLagrange-Galerkinlocal projection stabilizationnon-divergence-free velocity field
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items (5)
A mass-preserving two-step Lagrange-Galerkin scheme for convection-diffusion problems ⋮ A nearly-conservative, high-order, forward Lagrange-Galerkin method for the resolution of compressible flows on unstructured triangular meshes ⋮ A semi-Lagrangian meshfree Galerkin method for convection-dominated partial differential equations ⋮ A stable conservative Lagrange-Galerkin scheme to pure convection equations with mesh intersection ⋮ A nearly-conservative, high-order, forward Lagrange-Galerkin method for the resolution of scalar hyperbolic conservation laws
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A genuinely stable Lagrange-Galerkin scheme for convection-diffusion problems
- Three-dimensional adaptive domain remeshing, implicit domain meshing, and applications to free and moving boundary problems
- On Koornwinder classical orthogonal polynomials in two variables
- An anisotropic, fully adaptive algorithm for the solution of convection-dominated equations with semi-Lagrangian schemes
- A second order in time local projection stabilized Lagrange-Galerkin method for Navier-Stokes equations at high Reynolds numbers
- An unconditionally stable fully conservative semi-Lagrangian method
- A nodal triangle-based spectral element method for the shallow water equations on the sphere
- Stabilized methods for compressible flows
- A mass-conservative characteristic finite element scheme for convection-diffusion problems
- A conservative nodal variational multiscale method for Lagrangian shock hydrodynamics
- Conservative interpolation between volume meshes by local Galerkin projection
- Enforcement of constraints and maximum principles in the variational multiscale method
- A\(_ 0\)-stability of variable stepsize BDF methods
- A local anisotropic adaptive algorithm for the solution of low-Mach transient combustion problems
- Multi-scale Lagrangian shock hydrodynamics on Q1/P0 finite elements: theoretical framework and two-dimensional computations
- A comparison of interpolation grids over the triangle or the tetrahedron
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Spectral methods on triangles and other domains
- An introduction to finite element methods for transient advection problems
- A generalized particle search-locate algorithm for arbitrary grids
- A characteristic/finite element algorithm for time-dependent 3-D advection-dominated transport using unstructured grids.
- Strong and weak Lagrange-Galerkin spectral element methods for the shallow water equations
- Symmetric quadrature rules on a triangle
- An efficient characteristic Galerkin scheme for the advection equation in 3D.
- Evolution-Galerkin methods and their supraconvergence
- A Lagrangian finite element method for 3D compressible flow applications
- Local projection stabilized Lagrange-Galerkin methods for Navier-Stokes equations at high Reynolds numbers
- Pure Lagrangian and semi-Lagrangian finite element methods for the numerical solution of Navier-Stokes equations
- A parallel matrix-free conservative solution interpolation on unstructured tetrahedral meshes
- A fully semi-Lagrangian discretization for the 2D incompressible Navier-Stokes equations in the vorticity-streamfunction formulation
- Modified Lagrange-Galerkin methods of first and second order in time for convection-diffusion problems
- Stabilized shock hydrodynamics. I: A Lagrangian method
- A vectorized particle tracer for unstructured grids
- Julia: A Fresh Approach to Numerical Computing
- Algorithm 930
- Runge-Kutta Methods with Minimum Error Bounds
- Gauss legendre quadrature formulas over a tetrahedron
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- A semi-Lagrangian-Galerkin projection scheme for convection equations
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- Stability of the Lagrange-Galerkin method with non-exact integration
- Convergence Analysis for a Class of High-Order Semi-Lagrangian Advection Schemes
- High-Order Curvilinear Finite Element Methods for Lagrangian Hydrodynamics
- A Second Order in Time Modified Lagrange--Galerkin Finite Element Method for the Incompressible Navier--Stokes Equations
- Anisotropic “Goal-Oriented” Mesh Adaptivity for Elliptic Problems
- An Explicit Sixth-Order Runge-Kutta Formula
This page was built for publication: A nearly-conservative high-order Lagrange-Galerkin method for the resolution of scalar convection-dominated equations in non-divergence-free velocity fields
