An implicit Eulerian-Lagrangian WENO3 scheme for nonlinear conservation laws
DOI10.1007/s10915-018-0738-2zbMath1407.65147OpenAlexW2803945097MaRDI QIDQ1632215
Chieh-Sen Huang, Todd Arbogast
Publication date: 13 December 2018
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-018-0738-2
finite volumehyperbolicsemi-LagrangianRoe solverWENO reconstructionEulerian-Lagrangianlocally frozentraceline
Shock waves and blast waves in fluid mechanics (76L05) Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Euler equations (35Q31)
Related Items
Cites Work
- An Eulerian-Lagrangian WENO finite volume scheme for advection problems
- High order accurate semi-implicit WENO schemes for hyperbolic balance laws
- Conservative high order semi-Lagrangian finite difference WENO methods for advection in incompressible flow
- A semi-Lagrangian finite difference WENO scheme for scalar nonlinear conservation laws
- Numerical experiments on the accuracy of ENO and modified ENO schemes
- A conservative high order semi-Lagrangian WENO method for the Vlasov equation
- Uniformly high order accurate essentially non-oscillatory schemes. III
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Approximate Riemann solvers, parameter vectors, and difference schemes
- Weighted essentially non-oscillatory schemes
- On the transport-diffusion algorithm and its applications to the Navier-Stokes equations
- On the construction, comparison, and local characteristic decomposition for high-order central WENO schemes
- Efficient implementation of weighted ENO schemes
- A fifth-order flux-implicit WENO method
- Implicit WENO shock capturing scheme for unsteady flows. Application to one-dimensional Euler equations
- Simulation of multiple shock-shock interference using implicit anti-diffusive WENO schemes
- Natural Continuous Extensions of Runge-Kutta Methods
- Uniformly High-Order Accurate Nonoscillatory Schemes. I
- Implicit weighted essentially non-oscillatory schemes for the incompressible Navier-Stokes equations
- Central WENO schemes for hyperbolic systems of conservation laws
- Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
- High-Order Essentially Nonoscillatory Schemes for Hamilton–Jacobi Equations
- Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
- Compact Central WENO Schemes for Multidimensional Conservation Laws
- Conservative Semi-Lagrangian Finite Difference WENO Formulations with Applications to the Vlasov Equation
- A Characteristics-Mixed Finite Element Method for Advection-Dominated Transport Problems
- An Eulerian–Lagrangian Weighted Essentially Nonoscillatory scheme for nonlinear conservation laws
- Convergence of a Fully Conservative Volume Corrected Characteristic Method for Transport Problems
- A Fully Mass and Volume Conserving Implementation of a Characteristic Method for Transport Problems
- Mathematics and Computation in Imaging Science and Information Processing
