Long Wave Interaction with a Partially Immersed Body. Part I: Mathematical Models
From MaRDI portal
Publication:5162005
DOI10.4208/cicp.OA-2018-0294zbMath1490.76039arXiv1903.07617MaRDI QIDQ5162005
Denys Dutykh, Gayaz S. Khakimzyanov
Publication date: 1 November 2021
Published in: Communications in Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.07617
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Free-surface potential flows for incompressible inviscid fluids (76B07)
Related Items
Assessing the frequency dispersion influence on the solitary-wave interaction with a constant sloping beach ⋮ Influence of bottom irregularity on solitary-wave interaction with a partially immersed rectangular body ⋮ Numerical analysis of interaction between a solitary wave and a rectangular fixed semi-submerged structure ⋮ A regularized shallow-water waves system with slip-wall boundary conditions in a basin: theory and numerical analysis
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An overview of some recent results on the Euler system of isentropic gas dynamics
- Fundamentals of geophysical hydrodynamics. Translated by Boris Khesin.
- Global wellposedness of the 3-D full water wave problem
- Finite volume schemes for dispersive wave propagation and runup
- Practical use of variational principles for modeling water waves
- Splitting methods for partial differential equations with rough solutions. Analysis and Matlab programs
- On a regularization of the compressible Euler equations for an isothermal gas
- Structure of dynamical systems. A symplectic view of physics. Transl. from the French by C. H. Cushman-de Vries. Transl. ed.: R. H. Cushman a. G. M. Tuynman
- The splitting technique as applied to the solution of the nonlinear dispersive shallow-water equations.
- Interactions of fully nonlinear solitary wave with a freely floating vertical cylinder
- The VOLNA code for the numerical modeling of tsunami waves: generation, propagation and inundation
- Conservative modified Serre-Green-Naghdi equations with improved dispersion characteristics
- Energy equation for certain approximate models of long-wave hydrodynamics
- Reflection and transmission of regular water waves by a thin, floating plate
- Non-dispersive conservative regularisation of nonlinear shallow water (and isentropic Euler equations)
- A mixed Eulerian-Lagrangian spectral element method for nonlinear wave interaction with fixed structures
- Exact solution of the Riemann problem for the shallow water equations with discontinuous bottom geometry
- Mathematical models and numerical simulations for the America's cup
- A multiple-layer \(\sigma\)-coordinate model for simulation of wave-structure interaction
- Long wave approximations for water waves
- Vorticity and Incompressible Flow
- Random Seas and Design of Maritime Structures
- Choice of measure source terms in interface coupling for a model problem in gas dynamics
- Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations
- On the Galilean Invariance of Some Nonlinear Dispersive Wave Equations
- Dispersive wave runup on non-uniform shores
- The equilibrium range in the spectrum of wind-generated waves
- Energy of tsunami waves generated by bottom motion
- Finite-difference simulation of nonlinear ship waves
- Weakly dispersive nonlinear gravity waves
- Pressure marching schemes that work
- On the theory of water waves
- On the hamiltonian theory of surface waves
- A derivation of equations for wave propagation in water of variable depth
- Nonlinear-wave effects on fixed and floating bodies
- Variational principle for approximate models of wave hydrodynamics
- Dispersive Shallow Water Wave Modelling. Part I: Model Derivation on a Globally Flat Space
- Dispersive Shallow Water Wave Modelling. Part II: Numerical Simulation on a Globally Flat Space
- Dispersive Shallow Water Wave Modelling. Part III: Model Derivation on a Globally Spherical Geometry
- Dispersive Shallow Water Wave Modelling. Part IV: Numerical Simulation on a Globally Spherical Geometry
- Numerical Modelling of Surface Water Wave Interaction with a Moving Wall
- Global Ill‐Posedness of the Isentropic System of Gas Dynamics
- A Numerical Glimpse at Some Non-standard Solutions to Compressible Euler Equations
- Resonance wave pumping with surface waves
- A reasoned overview on Boussinesq-type models: the interplay between physics, mathematics and numerics
- A Leray-type regularization for the isentropic Euler equations
- A shallow‐water approximation to the full water wave problem
- Variational statement of the problem of liquid motion in a container of finite dimensions
- Long waves on a beach
- Exact solutions to the Riemann problem of the shallow water equations with a bottom step
