A neural network based shock detection and localization approach for discontinuous Galerkin methods
From MaRDI portal
Publication:2123860
DOI10.1016/j.jcp.2020.109824OpenAlexW3000947656MaRDI QIDQ2123860
Andrea Beck, Jonas Zeifang, Anna Schwarz, David Flad
Publication date: 14 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.08201
neural networksmachine learningshock capturingdiscontinuous Galerkinshock indicatorhigh order schemes
Related Items (14)
A data-driven high order sub-cell artificial viscosity for the discontinuous Galerkin spectral element method ⋮ A data-driven shock capturing approach for discontinuous Galerkin methods ⋮ Extrapolated discontinuity tracking for complex 2D shock interactions ⋮ A perspective on machine learning methods in turbulence modeling ⋮ Applications of limiters, neural networks and polynomial annihilation in higher-order FD/FV schemes ⋮ Using deep neural networks for detecting spurious oscillations in discontinuous Galerkin solutions of convection-dominated convection-diffusion equations ⋮ Neural network-based limiter with transfer learning ⋮ Accelerating explicit time-stepping with spatially variable time steps through machine learning ⋮ A Reinforcement Learning Based Slope Limiter for Two-Dimensional Finite Volume Schemes ⋮ A framework for high-fidelity particle tracking on massively parallel systems ⋮ Learning the Dynamics for Unknown Hyperbolic Conservation Laws Using Deep Neural Networks ⋮ Enhanced fifth order WENO shock-capturing schemes with deep learning ⋮ Adaptive numerical dissipation control for high-order \(k\)-exact reconstruction schemes on vertex-centered unstructured grids using artificial neural networks ⋮ A p-adaptive discontinuous Galerkin method with hp-shock capturing
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \textit{A posteriori} subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws
- An entropy-residual shock detector for solving conservation laws using high-order discontinuous Galerkin methods
- Shock capturing with PDE-based artificial viscosity for DGFEM. I: Formulation
- Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method. II: Two dimensional case
- Discontinuous Galerkin solution of compressible flow in time-dependent domains
- The numerical simulation of two-dimensional fluid flow with strong shocks
- On shock localization by digital image processing techniques
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Large-eddy simulation of the shock/turbulence interaction
- Low-storage, explicit Runge-Kutta schemes for the compressible Navier-Stokes equations
- Computation of flows with shocks using the spectral difference method with artificial viscosity. I: Basic formulation and application
- A CNN-based shock detection method in flow visualization
- On some aspects of the discontinuous Galerkin finite element method for conservation laws
- Adaptive discontinuous Galerkin finite element methods for the compressible Euler equations.
- Detecting troubled-cells on two-dimensional unstructured grids using a neural network
- Efficient parallelization of a shock capturing for discontinuous Galerkin methods using finite volume sub-cells
- Explicit discontinuous Galerkin methods for unsteady problems
- An artificial neural network as a troubled-cell indicator
- A sub-cell based indicator for troubled zones in RKDG schemes and a novel class of hybrid RKDG+HWENO schemes
- Limiters for high-order discontinuous Galerkin methods
- Viscous Shock Capturing in a Time-Explicit Discontinuous Galerkin Method
- The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
- Implementing Spectral Methods for Partial Differential Equations
- Universal approximation bounds for superpositions of a sigmoidal function
- Numerical Solution of the Riemann Problem for Two-Dimensional Gas Dynamics
- On the Gibbs Phenomenon and Its Resolution
- High-order Finite Difference and Finite Volume WENO Schemes and Discontinuous Galerkin Methods for CFD
- Finite Volume Methods for Hyperbolic Problems
- Artificial neural networks trained through deep reinforcement learning discover control strategies for active flow control
- A simple shock‐capturing technique for high‐order discontinuous Galerkin methods
- High‐order CFD methods: current status and perspective
- Learning representations by back-propagating errors
- Numerical Methods for High-Speed Flows
- A Comparison of Troubled-Cell Indicators for Runge--Kutta Discontinuous Galerkin Methods Using Weighted Essentially Nonoscillatory Limiters
- Approximation by superpositions of a sigmoidal function
- A problem-independent limiter for high-order Runge-Kutta discontinuous Galerkin methods
This page was built for publication: A neural network based shock detection and localization approach for discontinuous Galerkin methods
