A high-order harmonic polynomial method for solving the Laplace equation with complex boundaries and its application to free-surface flows. I: Two-dimensional cases
DOI10.1002/NME.6390zbMATH Open1548.76186MaRDI QIDQ6553516
Jingbo Wang, Wenyang Duan, Odd M. Faltinsen
Publication date: 11 June 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Basic methods in fluid mechanics (76M99) Free-surface potential flows for incompressible inviscid fluids (76B07)
Cites Work
- Title not available (Why is that?)
- A harmonic polynomial cell (HPC) method for 3D Laplace equation with application in marine hydrodynamics
- Generalized HPC method for the Poisson equation
- Numerical simulation of fully nonlinear interaction between steep waves and 2D floating bodies using the QALE-FEM method
- An efficient flexible-order model for 3D nonlinear water waves
- Rapid solution of integral equations of classical potential theory
- An adaptively refined Cartesian mesh solver for the Euler equations
- Full threaded tree algorithms for adaptive refinement fluid dynamics simulations
- Quad trees: A data structure for retrieval by composite keys
- Flow patterns around heart valves: A numerical method
- On the accuracy of finite-difference solutions for nonlinear water waves
- Finite element simulation of fully nonlinear interaction between vertical cylinders and steep waves. I: Methodology and numerical procedure. II: Numerical results and validation
- A fast method for nonlinear three-dimensional free-surface waves
- Numerical simulations of nonlinear axisymmetric flows with a free surface
- Deep-water plunging breakers: a comparison between potential theory and experiments
- Water entry of two-dimensional bodies
- The deformation of steep surface waves on water - I. A numerical method of computation
- Multidimensional modal analysis of nonlinear sloshing in a rectangular tank with finite water depth
- An experimental investigation of higher-harmonic wave forces on a vertical cylinder
- A numerical study of crescent waves
- A massively parallel GPU‐accelerated model for analysis of fully nonlinear free surface waves
- On some problems of similarity flow of fluid with a free surface
- Numerical Solution of the Navier-Stokes Equations
- On the efficient numerical simulation of directionally spread surface water waves
- Free-surface tracking in 2D with the harmonic polynomial cell method: two alternative strategies
- Local and global properties of the harmonic polynomial cell method: in-depth analysis in two dimensions
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