An iterative method to compute conformal mappings and their inverses in the context of water waves over topographies

修正缓坡方程的新近似

Novel Approximation of the Modified Mild Slope Equation

本文推导了一个大幅简化的修正缓坡方程替代版本，该版本保留了原方程关键特征且与线性浅水方程相似，验证表明其能在广泛波数和地形范围内准确复现原方程预测结果。

A three dimensional Dirichlet-to-Neumann operator for waves over topography

Surface water waves are considered propagating over highly variable non-smooth topographies. For this three dimensional problem a Dirichlet-to-Neumann (DtN) operator is constructed reducing the numerical modeling and evolution to the two dimensional free surface. The corresponding Fourier-type operator is defined through a matrix decomposition. The topographic component of the decomposition requires special care and a Galerkin method is provided accordingly. One dimensional numerical simulations, along the free surface, validate the DtN formulation in the presence of a large amplitude, rapidly…

利用迭代隐式方法建模多相流中纳米颗粒传输

Numerical Modeling of Nanoparticles Transport with Two-Phase Flow in Porous Media Using Iterative Implicit Method

本文提出一种数学模型，用于描述多孔介质中由两相流携带的纳米颗粒传输，考虑重力、毛细力和布朗扩散。采用非线性迭代IMPES方案求解流体方程，通过隐式求解传输方程，分析纳米颗粒浓度变化对孔隙体积和孔隙喉道中纳米颗粒体积的影响。

Efficient p-multigrid spectral element model for water waves and marine offshore structures

In marine offshore engineering, cost-efficient simulation of unsteady water waves and their nonlinear interaction with bodies are important to address a broad range of engineering applications at increasing fidelity and scale. We consider a fully nonlinear potential flow (FNPF) model discretized using a Galerkin spectral element method to serve as a basis for handling both wave propagation and wave-body interaction with high computational efficiency within a single modellingapproach. We design and propose an efficientO(n)-scalable computational procedure based on geometric p-multigrid for solv…

水平海床运动产生的完全非线性波下的粒子轨迹

Particle Trajectories Beneath Fully Nonlinear Waves Generated by Horizontal Seabed Motion

本文提出一种拉格朗日公式，在时间依赖共形域中计算水平海床运动产生的完全非线性波下的粒子轨迹，并揭示粒子运动主导机制随弗劳德数的转变。

A fully nonlinear iterative solution method for self-similar potential flows with a free boundary

An iterative solution method for fully nonlinear boundary value problems governing self-similar flows with a free boundary is presented. Specifically, the method is developed for application to water entry problems, which can be studied under the assumptions of an ideal and incompressible fluid with negligible gravity and surface tension effects. The approach is based on a pseudo time stepping procedure, which uses a boundary integral equation method for the solution of the Laplace problem governing the velocity potential at each iteration. In order to demonstrate the flexibility and the capab…

一种用于非线性水波自由表面不可压缩Navier-Stokes模型的p-多重网格加速节点谱元方法

A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves

本文提出一种基于节点谱元法和几何p-多重网格加速的不可压缩Navier-Stokes自由表面模型，用于高效高精度模拟非线性水波，并通过经典潜堤谐波基准验证了其谱收敛性、实验一致性和O(n)计算可扩展性。

子空间加速用于高效非线性水波模拟

Subspace Acceleration for Efficient Nonlinear Water Wave Simulation

本文提出子空间加速技术，用于高效非线性水波模拟，通过改进初始猜测减少迭代次数，提升计算效率。

Implementation of a fully nonlinear Hamiltonian Coupled-Mode Theory, and application to solitary wave problems over bathymetry

This paper deals with the implementation of a new, efficient, non-perturbative, Hamiltonian coupled-mode theory (HCMT) for the fully nonlinear, potential flow (NLPF) model of water waves over arbitrary bathymetry, Papoutsellis and Athanassoulis (2017) (arXiv:1704.03276). Applications considered herein concern the interaction of solitary waves with bottom topographies and vertical walls both in two- and three-dimensional environments. The essential novelty is a new representation of the Dirichlet-to-Neumann operator, needed to close the Hamiltonian evolution equations. This representation emerg…

用水波绘图

Drawing with water waves

该研究针对海洋工程中复杂3D波场再现难题，提出用瞬态多向聚焦波在水面绘图的新方法，整合多种技术减轻波高过冲，经模拟和实验验证有效，为创建任意2D和3D表面几何形状建立确定性方法，利于海洋工程波场控制。