A high order spectral volume solution to the Burgers' equation using the Hopf–Cole transformation
From MaRDI portal
Publication:4898009
DOI10.1002/fld.2612zbMath1253.76087OpenAlexW2115403339MaRDI QIDQ4898009
Ravishekar Kannan, Zhi Jian Wang
Publication date: 29 December 2012
Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/fld.2612
Spectral methods applied to problems in fluid mechanics (76M22) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items (7)
High-order solution-adaptive central essentially non-oscillatory (CENO) method for viscous flows ⋮ Bernstein-Bézier Galerkin-characteristics finite element method for convection-diffusion problems ⋮ A linear finite-difference scheme for approximating randers distances on cartesian grids ⋮ A semi-Lagrangian Bernstein-Bézier finite element method for two-dimensional coupled Burgers' equations at high Reynolds numbers ⋮ A Third Order Adaptive ADER Scheme for One Dimensional Conservation Laws ⋮ A class of high-order compact difference schemes for solving the Burgers' equations ⋮ Multistep methods for the numerical simulation of two-dimensional Burgers' equation
Uses Software
Cites Work
- Simulation of impulse effects from explosive charges containing metal particles
- A high order spectral volume method for elastohydrodynamic lubrication problems: formulation and application of an implicit p-multigrid algorithm for line contact problems
- A \(p\)-multigrid spectral difference method with explicit and implicit smoothers on unstructured triangular grids
- The direct discontinuous Galerkin (DDG) viscous flux scheme for the high order spectral volume method
- A study of viscous flux formulations for a \(p\)-multigrid spectral volume Navier Stokes solver
- LDG2: A variant of the LDG flux formulation for the spectral volume method
- Spectral (finite) volume method for conservation laws on unstructured grids. II: Extension to two-dimensional scalar equation
- Approximate Riemann solvers, parameter vectors, and difference schemes
- A new flux splitting scheme
- Spectral (finite) volume method for conservation laws on unstructured grids. IV: Extension to two-dimensional systems.
- Spectral (finite) volume method for conservation laws on unstructured grids. Basic formulation
- Spectral (finite) volume method for conservation laws on unstructured grids. VI: Extension to viscous flow
- Extension of the spectral volume method to high-order boundary representation
- Spectral (finite) volume method for conservation laws on unstructured grids V: Extension to three-dimensional systems
- An implicit LU-SGS spectral volume method for moment models in device simulations II: Accuracy studies and performance enhancements using the penalty and BR2 formulations
- An implicit LU-SGS spectral volume method for the moment models in device simulations: Formulation in 1D and application to a p-multigrid algorithm
- Total-Variation-Diminishing Time Discretizations
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- A High Order Spectral Volume Formulation for Solving Equations Containing Higher Spatial Derivative Terms: Formulation and Analysis for Third Derivative Spatial Terms Using the LDG Discretization Procedure
- A fourth-order finite-difference method for solving the system of two-dimensional Burgers' equations
- The partial differential equation ut + uux = μxx
- On a quasi-linear parabolic equation occurring in aerodynamics
This page was built for publication: A high order spectral volume solution to the Burgers' equation using the Hopf–Cole transformation
