The simple finite volume Lax-Wendroff weighted essentially nonoscillatory schemes for shallow water equations with bottom topography
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Publication:1720620
DOI10.1155/2018/2652367zbMath1426.76399OpenAlexW2790688579MaRDI QIDQ1720620
Luoyan Xie, Hong Wei Yang, Changna Lu
Publication date: 8 February 2019
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2018/2652367
KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
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Cites Work
- Unnamed Item
- Hybrid well-balanced WENO schemes with different indicators for shallow water equations
- Frobenius integrable decompositions of nonlinear evolution equations with modified term
- Stochastic linear quadratic optimal control with constraint for discrete-time systems
- Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method, III: Unstructured meshes
- Simulations of shallow water equations with finite difference Lax-Wendroff weighted essentially non-oscillatory schemes
- A new fifth order finite difference WENO scheme for solving hyperbolic conservation laws
- A maximum-principle-satisfying finite volume compact-WENO scheme for traffic flow model on networks
- Application of conservative residual distribution schemes to the solution of the shallow water equations on unstructured meshes
- A deformed reduced semi-discrete Kaup-Newell equation, the related integrable family and Darboux transformation
- An integrable coupling hierarchy of the MKdV\_integrable systems, its Hamiltonian structure and corresponding nonisospectral integrable hierarchy
- Some modifications of Newton's method with higher-order convergence for solving nonlinear equations
- Positive and negative integrable hierarchies, associated conservation laws and Darboux transformation
- Uniformly high order accurate essentially non-oscillatory schemes. III
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- Weighted essentially non-oscillatory schemes
- Mathematical balancing of flux gradient and source terms prior to using Roe's approximate Riemann solver.
- ZK-Burgers equation for three-dimensional Rossby solitary waves and its solutions as well as chirp effect
- A decomposition method for large-scale box constrained optimization
- Mixed lump-kink solutions to the KP equation
- On the eigenvalues of the ADER-WENO Galerkin predictor
- Wavelet-based adaptation methodology combined with finite difference WENO to solve ideal magnetohydrodynamics
- Characteristic finite-difference WENO scheme for multicomponent compressible fluid analysis: overestimated quasi-conservative formulation maintaining equilibriums of velocity, pressure, and temperature
- A new type of finite volume WENO schemes for hyperbolic conservation laws
- Dissipative nonlinear Schrödinger equation for envelope solitary Rossby waves with dissipation effect in stratified fluids and its solution
- Algebro-geometric solutions for a discrete integrable equation
- Efficient implementation of weighted ENO schemes
- Forced ILW-Burgers equation as a model for Rossby solitary waves generated by topography in finite depth fluids
- Rational solutions and lump solutions to the generalized \((3+1)\)-dimensional shallow water-like equation
- A new integro-differential equation for Rossby solitary waves with topography effect in deep rotational fluids
- Time-fractional generalized Boussinesq equation for Rossby solitary waves with dissipation effect in stratified fluid and conservation laws as well as exact solutions
- Two integrable lattice hierarchies and their respective Darboux transformations
- A new integrable symplectic map and the lie point symmetry associated with nonlinear lattice equations
- Simulations of Shallow Water Equations by Finite Difference WENO Schemes with Multilevel Time Discretization
- Binary Bargmann symmetry constraint associated with 3×3 discrete matrix spectral problem
- Weighted essential non-oscillatory schemes for tidal bore on unstructured meshes
- Finite Difference WENO Schemes with Lax--Wendroff-Type Time Discretizations
- Trigonal curves and algebro-geometric solutions to soliton hierarchies I
