A novel stabilization method for high-order shock fitting with finite element methods
From MaRDI portal
Publication:2124884
DOI10.1016/j.jcp.2020.110096OpenAlexW3119849749MaRDI QIDQ2124884
Brian T. Helenbrook, Luke M. D'Aquila, Alireza Mazaheri
Publication date: 11 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2020.110096
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Shock waves and blast waves in fluid mechanics (76Lxx)
Related Items (4)
Implicit shock tracking for unsteady flows by the method of lines ⋮ A robust, high-order implicit shock tracking method for simulation of complex, high-speed flows ⋮ Extrapolated discontinuity tracking for complex 2D shock interactions ⋮ High-order implicit shock tracking boundary conditions for flows with parametrized shocks
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Shock interaction computations on unstructured, two-dimensional grids using a shock-fitting technique
- Computation of weak steady shock reflections by means of an unstructured shock-fitting solver
- Efficient high-order discontinuous Galerkin schemes with first-order hyperbolic advection-diffusion system approach
- Extrapolated shock tracking: bridging shock-fitting and embedded boundary methods
- Preconditioning for dual-time-stepping simulations of the shallow water equations including Coriolis and bed friction effects
- Spectral methods on triangles and other domains
- Computation of three dimensional flows about aircraft configurations
- High-order accurate discontinuous finite element solution of the 2D Euler equations
- A triangular spectral element method; applications to the incompressible Navier-Stokes equations.
- \(p=2\) continuous finite elements on tetrahedra with local mass matrix inversion to solve the preconditioned compressible Navier-Stokes equations
- High-order adaptive arbitrary-Lagrangian-Eulerian (ALE) simulations of solidification
- A shock-fitting technique for cell-centered finite volume methods on unstructured dynamic meshes
- An optimization-based approach for high-order accurate discretization of conservation laws with discontinuous solutions
- Implicit method for the computation of unsteady flows on unstructured grids
- Tetrahedral \(hp\) finite elements: Algorithms and flow simulations
- Bounded and compact weighted essentially nonoscillatory limiters for discontinuous Galerkin schemes: triangular elements
- An unstructured, three-dimensional, shock-fitting solver for hypersonic flows
- On high-order shock-fitting and front-tracking schemes for numerical simulation of shock-disturbance interactions
- Numerical simulation of flows with shocks through an unstructured shock-fitting solver
- Spectral methods for the Euler equations. II - Chebyshev methods andshock fitting
- A contribution to the great Riemann solver debate
- Mesh deformation using the biharmonic operator
- Mesh deformation and modification for time dependent problems
- Shock wave numerical structure and the carbuncle phenomenon
- A time-dependent computational method for blunt body flows.
- A two-fluid spectral-element method
- A four-stage index 2 diagonally implicit Runge-Kutta method
This page was built for publication: A novel stabilization method for high-order shock fitting with finite element methods
