Numerical algorithms for water waves with background flow over obstacles and topography
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Publication:2154715
DOI10.1007/s10444-022-09957-zzbMath1493.76071arXiv2108.01786OpenAlexW3192641716MaRDI QIDQ2154715
Roberto Camassa, Quentin Robinson, David M. Ambrose, Jon Wilkening, Jeremy L. Marzuola, Richard M. McLaughlin
Publication date: 20 July 2022
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.01786
Cauchy integrallayer potentialmultiply connected domainGPU accelerationsplash singularityoverturning wavecapillary-gravity water wavevortex sheet method
Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Vortex methods applied to problems in fluid mechanics (76M23)
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Cites Work
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- Time-dependent conformal mapping of doubly-connected regions
- A small-scale decomposition for 3D boundary integral computations with surface tension
- A high-order discontinuous Galerkin method for fluid-structure interaction with efficient implicit-explicit time stepping
- Finite time singularities for the free boundary incompressible Euler equations
- Simulating the dynamics and interactions of flexible fibers in Stokes flows
- Numerical simulation of gravity waves
- Exponential time differencing for stiff systems
- New method for numerical simulation of a nonstationary potential flow of incompressible fluid with a free surface
- Truncation approximations for gravity-capillary free-surface flows
- The maximum principle
- Rapid solution of integral equations of classical potential theory
- Stability of some stationary solutions for the forced KdV equation
- Removing the stiffness from interfacial flows with surface tension
- An adjoint method for a high-order discretization of deforming domain conservation laws for optimization of flow problems
- Additive Runge-Kutta schemes for convection-diffusion-reaction equations
- Spatially quasi-periodic water waves of infinite depth
- A simple strategy for varying the restart parameter in GMRES\((m)\)
- Traveling waves from the arclength parameterization: vortex sheets with surface tension
- Computing nearly singular solutions using pseudo-spectral methods
- Well-posedness of 3D vortex sheets with surface tension
- On the evaluation of layer potentials close to their sources
- Analytical solutions for uniform potential flow past multiple cylinders
- Nonlinear interactions between deep-water waves and currents
- Free-surface flow over a semicircular obstruction, including the influence of gravity and surface tension
- Solving Ordinary Differential Equations I
- Dynamics of steep two-dimensional gravity–capillary solitary waves
- An exact solution for progressive capillary waves of arbitrary amplitude
- A Numerical Study of the Exact Evolution Equations for Surface Waves in Water of Finite Depth
- Transcritical shallow-water flow past topography: finite-amplitude theory
- Wake-mediated synchronization and drafting in coupled flags
- Interaction of Water Waves and Currents
- Nonlinear transient free-surface flow and dip formation due to a point sink
- Lagrangian theory for 3D vortex sheets with axial or helical symmetry
- Stable Methods for Vortex Sheet Motion in the Presence of Surface Tension
- Well-Posedness of Vortex Sheets with Surface Tension
- A three-dimensional Dirichlet-to-Neumann operator for water waves over topography
- A Simple Mesh Generator in MATLAB
- Resonant flow of a stratified fluid over topography
- Generalized vortex methods for free-surface flow problems
- Numerical studies of surface-tension effects in nonlinear Kelvin–Helmholtz and Rayleigh–Taylor instability
- Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
- Splash singularity for water waves
- Large-amplitude membrane flutter in inviscid flow
- Inverse Acoustic and Electromagnetic Scattering Theory
- Gravity perturbed Crapper waves
- On Improving Linear Solver Performance: A Block Variant of GMRES
- The effect of non-linearity at the free surface on flow past a submerged cylinder
- Two-dimensional free-surface gravity flow past blunt bodies
- The zero surface tension limit two‐dimensional water waves
- The long-time motion of vortex sheets with surface tension
- Unsteady undular bores in fully nonlinear shallow-water theory
- Quasi-periodic travelling gravity–capillary waves
- An efficient dynamically adaptive mesh for potentially singular solutions
- The nonlinear evolution of vortex sheets with surface tension in axisymmetric flows
- Time-dependent gravity-capillary flows past an obstacle.
