Thick interface coupling technique for weakly dispersive models of waves
DOI10.1051/m2an/2024048MaRDI QIDQ6619603
Publication date: 16 October 2024
Published in: European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
initial-boundary value probleminterface couplingstructure preserving schemeprojected modeldispersive model
PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61) Numerical analysis (65-XX) Initial value problems for PDEs of mixed type (35M11)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A combined finite volume -- finite element scheme for a dispersive shallow water system
- High order well-balanced CDG-FE methods for shallow water waves by a Green-Naghdi model
- Numerical treatment of wave breaking on unstructured finite volume approximations for extended Boussinesq-type equations
- Upwind residual discretization of enhanced Boussinesq equations for wave propagation over complex bathymetries
- On the Galerkin/finite-element method for the Serre equations
- A new class of fully nonlinear and weakly dispersive Green-Naghdi models for efficient 2D simulations
- On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves.
- A hierarchy of dispersive layer-averaged approximations of Euler equations for free surface flows
- Numerical approximation of hyperbolic systems of conservation laws
- Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory
- Coupling techniques for nonlinear hyperbolic equations. II: Resonant interfaces with internal structure
- Waves interacting with a partially immersed obstacle in the Boussinesq regime
- Hamiltonian formulation of the extended Green-Naghdi equations
- An overview of projection methods for incompressible flows
- Perfectly matched layers methods for mixed hyperbolic-dispersive equations
- Coupling Techniques for Nonlinear Hyperbolic Equations. III. The Well-Balanced Approximation of Thick Interfaces
- Coupling techniques for nonlinear hyperbolic equations. I Self-similar diffusion for thin interfaces
- Depth-integrated, non-hydrostatic model for wave breaking and run-up
- A derivation of equations for wave propagation in water of variable depth
- Higher–order Boussinesq–type equations for surface gravity waves: derivation and analysis
- An integrable shallow water equation with peaked solitons
- Finite Volume Methods for Hyperbolic Problems
- Congested shallow water model: roof modeling in free surface flow
- A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
- Performance of numerical methods on the non‐unique solution to the Riemann problem for the shallow water equations
- A rapid numerical method for solving Serre–Green–Naghdi equations describing long free surface gravity waves
- A Class of Boundary Conditions for Time-Discrete Green--Naghdi Equations with Bathymetry
- Generating boundary conditions for a Boussinesq system*
- Discrete Transparent Boundary Conditions for the Linearized Green--Naghdi System of Equations
- Coupling techniques for nonlinear hyperbolic equations. IV. Well-balanced schemes for scalar multi-dimensional and multi-component laws
- Discontinuous-Galerkin Discretization of a New Class of Green-Naghdi Equations
- A Nash-Moser theorem for singular evolution equations. Application to the Serre and Green-Naghdi equations
- A fourth-order compact finite volume scheme for fully nonlinear and weakly dispersive Boussinesq-type equations. Part I: model development and analysis
- Long waves on a beach
- Model equations for long waves in nonlinear dispersive systems
- The numerical interface coupling of nonlinear hyperbolic systems of conservation laws: II. The case of systems
- A new model of shoaling and breaking waves. Part 2. Run-up and two-dimensional waves
- Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation
This page was built for publication: Thick interface coupling technique for weakly dispersive models of waves