A robust, high-order implicit shock tracking method for simulation of complex, high-speed flows
From MaRDI portal
Publication:2133709
DOI10.1016/j.jcp.2022.110981OpenAlexW3159807281MaRDI QIDQ2133709
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/2105.00139
high-order methodsnumerical optimizationdiscontinuous Galerkinhigh-speed flowsshock fittingshock tracking
Mathematical programming (90Cxx) Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)
Related Items (3)
High-order implicit shock tracking boundary conditions for flows with parametrized shocks ⋮ A space-time high-order implicit shock tracking method for shock-dominated unsteady flows ⋮ Model reduction of convection-dominated partial differential equations via optimization-based implicit feature tracking
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Extrapolated shock tracking: bridging shock-fitting and embedded boundary methods
- Implicit shock tracking using an optimization-based high-order discontinuous Galerkin method
- Shock capturing with PDE-based artificial viscosity for DGFEM. I: Formulation
- 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
- 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 novel stabilization method for high-order shock fitting with finite element methods
- Shock capturing for discontinuous Galerkin methods with application to predicting heat transfer in hypersonic flows
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- On high-order shock-fitting and front-tracking schemes for numerical simulation of shock-disturbance interactions
- Algebraic Mesh Quality Metrics
- Multidimensional Least Squares Fluctuation Distribution Schemes with Adaptive Mesh Movement for Steady Hyperbolic Equations
- 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
- A Simple Mesh Generator in MATLAB
- High‐order CFD methods: current status and perspective
- A Study of Several Artificial Viscosity Models within the Discontinuous Galerkin Framework
- A linearized method for the frequency analysis of three-dimensional fluid-structure interaction problems in all flow regimes
This page was built for publication: A robust, high-order implicit shock tracking method for simulation of complex, high-speed flows
