Implicit shock tracking for unsteady flows by the method of lines
From MaRDI portal
Publication:2133692
DOI10.1016/j.jcp.2021.110906OpenAlexW4220688454MaRDI QIDQ2133692
Andrew Shi, Matthew J. Zahr, Per-Olof Persson
Publication date: 5 May 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.08913
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Hyperbolic equations and hyperbolic systems (35Lxx)
Related Items (3)
An adaptive viscosity regularization approach for the numerical solution of conservation laws: application to finite element methods ⋮ High-order implicit shock tracking boundary conditions for flows with parametrized shocks ⋮ High-order implicit shock tracking (HOIST)
Cites Work
- Unnamed Item
- Discontinuous Galerkin solution of the Navier-Stokes equations on deformable domains
- Extrapolated shock tracking: bridging shock-fitting and embedded boundary methods
- Implicit shock tracking using an optimization-based high-order discontinuous Galerkin method
- Assessment of high-resolution methods for numerical simulations of compressible turbulence with shock waves
- Self-adjusting grid methods for one-dimensional hyperbolic conservation laws
- Uniformly high order accurate essentially non-oscillatory schemes. III
- Steady shock tracking and Newton's method applied to one-dimensional duct flow
- Approximate Riemann solvers, parameter vectors, and difference schemes
- Fully implicit shock tracking
- Weighted essentially non-oscillatory schemes
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- Thirty-six years of shock fitting.
- An optimization-based approach for high-order accurate discretization of conservation laws with discontinuous solutions
- Efficient implementation of weighted ENO schemes
- A conservative shock fitting method on unstructured grids
- A least-squares formulation of the moving discontinuous Galerkin finite element method with interface condition enforcement
- A novel stabilization method for high-order shock fitting with finite element methods
- On high-order shock-fitting and front-tracking schemes for numerical simulation of shock-disturbance interactions
- Multidimensional Least Squares Fluctuation Distribution Schemes with Adaptive Mesh Movement for Steady Hyperbolic Equations
- Nonlinear Elasticity for Mesh Deformation with High-Order Discontinuous Galerkin Methods for the Navier-Stokes Equations on Deforming Domains
- Output error estimation strategies for discontinuous Galerkin discretizations of unsteady convection-dominated flows
- Optimization of a regularized distortion measure to generate curved high-order unstructured tetrahedral meshes
- A distortion measure to validate and generate curved high-order meshes on CAD surfaces with independence of parameterization
- Steady Shock Tracking, Newton’s Method, and the Supersonic Blunt Body Problem
- Conservative Front Tracking with Improved Accuracy
- A WAVE EQUATION MODEL TO SOLVE THE MULTIDIMENSIONAL TRANSPORT EQUATION
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- High‐order CFD methods: current status and perspective
- A Study of Several Artificial Viscosity Models within the Discontinuous Galerkin Framework
- A problem-independent limiter for high-order Runge-Kutta discontinuous Galerkin methods
This page was built for publication: Implicit shock tracking for unsteady flows by the method of lines