arXiv 1502.007842015-02-03physics.ao-ph

The representation of boundary currents in a finite element shallow water model

Peter D. Düben, Peter Korn

英文摘要：

We evaluate the influence of local resolution, eddy viscosity, coastline structure, and boundary conditions on the numerical representation of boundary currents in a finite element shallow-water model. The use of finite element discretization methods offers a higher flexibility compared to finite difference and finite volume methods, that are mainly used in previous publications. This is true for the geometry of the coast lines and for the realization of boundary conditions. For our investigations we simulate steady separation of western boundary currents from idealized and realistic coast lines. The use of grid refinement allows a detailed investigation of boundary separation at reasonable numerical cost.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

阅读原文

阅读 PDF ↗

arXiv 页面 ↗HTML 原文 ↗

本文内容

英文摘要相关论文

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

继续探索

相关论文

Robust Source Localization in a Random Shallow Water Channel

This paper addresses source localization problem in a random shallow water channel. We present an extension of the generalized MUSIC method to the case, %in which when the signal correlation matrix is imprecisely known. The algorithm is validated by %simulations and its application to the experimental data observed in the Barents Sea. It has been found that the approach proposed demonstrates its excellent performance.

2014-10-28physics.ao-ph

Estimate of drainage water behaviour in shallow lakes

A theoretical estimate of the explicit time dependence of a drainage water of shallow lakes is presented as an important contribution for understanding the lake dynamics. This information can be obtained from a sum of functions, largely used in fitting of experimental data. These functions were chosen because their centre and weight yield a good description of the water basin behaviour. The coefficients of these functions are here extracted using results of measured and / or calculated data for the state variables describing the shallow West Lake, Hangzou. This procedure can also be applied to…

2004-03-01physics.ao-ph

A ray mode parabolic equation for shallow water acoustics propagation problems

Ray mode parabolic equations which are suitable for shallow water acoustics propagation problems are derived by the multiple-scale method.

2014-06-24physics.ao-phphysics.class-ph

Comparison of variational balance models for the rotating shallow water equations

We present an extensive numerical comparison of a family of balance models appropriate to the semi-geostrophic limit of the rotating shallow water equations, and derived by variational asymptotics in Oliver (2006) for small Rossby numbers ${\mathrm{Ro}}$. This family of generalized large-scale semi-geostrophic (GLSG) models contains the $L_1$-model introduced by Salmon (1983) as a special case. We use these models to produce balanced initial states for the full shallow water equations. We then numerically investigate how well these models capture the dynamics of an initially balanced shallow w…

2017-05-16physics.ao-phphysics.flu-dyn

湿热带旋转浅水模型的变分推导

Variational derivation of a moist thermal rotating shallow water model

通过变分原理，基于焓的拉格朗日量，推导了一个能量守恒的湿热带旋转浅水模型，并推广至非静力Green-Naghdi方程。

2026-06-26physics.ao-phphysics.flu-dyn

Equilibrium solutions of the shallow water equations

A statistical method for calculating equilibrium solutions of the shallow water equations, a model of essentially 2-d fluid flow with a free surface, is described. The model contains a competing acoustic turbulent {\it direct} energy cascade, and a 2-d turbulent {\it inverse} energy cascade. It is shown, nonetheless that, just as in the corresponding theory of the inviscid Euler equation, the infinite number of conserved quantities constrain the flow sufficiently to produce nontrivial large-scale vortex structures which are solutions to a set of explicitly derived coupled nonlinear partial dif…

2000-08-29physics.ao-phphysics.flu-dyn

更多相关论文收起更多论文

Modeling shallow water waves

We review here the derivation of many of the most important models that appear in the literature (mainly in coastal oceanography) for the description of waves in shallow water. We show that these models can be obtained using various asymptotic expansions of the "turbulent" and non-hydrostatic terms that appear in the equations that result from the vertical integration of the free surface Euler equations. Among these models are the well-known nonlinear shallow water (NSW), Boussinesq and Serre-Green-Naghdi (SGN) equations for which we review several pending open problems. More recent models suc…

2020-01-27math.APphysics.ao-phphysics.flu-dyn

Shallow water equations for large bathymetry variations

In this study, we propose an improved version of the nonlinear shallow water (or Saint-Venant) equations. This new model is designed to take into account the effects resulting from the large spacial and/or temporal variations of the seabed. The model is derived from a variational principle by choosing the appropriate shallow water ansatz and imposing suitable constraints. Thus, the derivation procedure does not explicitly involve any small parameter.

2011-07-06math.APnlin.SIphysics.ao-ph

浅水方程的能量和涡量守恒方案，基于模仿有限元方法

Energy- and enstrophy-conserving schemes for the shallow-water equations, based on mimetic finite elements

Imperial College London（帝国理工学院）

本文提出了一种基于二维混合有限元方法的浅水方程空间离散化方案，实现能量和潜涡量的守恒，无需正交网格。

2013-09-02cs.NAmath.NAphysics.ao-ph

旋转浅水方程在球面上的变分积分器

Variational integrator for the rotating shallow-water equations on the sphere

Memorial University of Newfoundland（纽芬兰纪念大学）；Imperial College London（伦敦帝国学院）；École Normale Supérieure/CNRS, Laboratoire de Météorologie Dynamique（巴黎高等师范学院/法国国家科学研究中心，动态气象实验室）

本文提出了一种用于旋转浅水方程在球面上的变分积分器，基于连续的Euler-Poincaré约简框架进行离散化，通过任意三角形网格的离散化描述，并通过标准数值测试验证了该离散变分积分器的准确性和良好的守恒性质。

2019-02-22cs.NAmath.NAphysics.ao-ph

浅水波的规范理论

A Gauge Theory for Shallow Water

本文证明浅水方程可重写为含Chern-Simons项的2+1维规范理论，其线性化对应相对论Maxwell-Chern-Simons理论，并识别手性边缘模式为海岸Kelvin波。

2023-03-21cond-mat.str-elhep-thphysics.ao-ph

浅水记忆：Stokes 漂移与 Darwin 漂移

Shallow Water Memory: Stokes and Darwin Drifts

本文将浅水的规范对称性阐释为二维保面积微分同胚，构造相关表面荷与 u(1) 流代数，并把 Euler、Stokes 和 Darwin 漂移统一解释为记忆效应或表面荷变化。

2023-07-21cond-mat.str-elhep-thphysics.ao-ph

Symmetry analysis of a system of modified shallow-water equations

We revise the symmetry analysis of a modified system of one-dimensional shallow-water equations (MSWE) recently considered by Raja Sekhar and Sharma [Commun. Nonlinear Sci. Numer. Simulat. 20 (2012) 630-636]. Only a finite dimensional subalgebra of the maximal Lie invariance algebra of the MSWE, which in fact is infinite dimensional, was found in the aforementioned paper. The MSWE can be linearized using a hodograph transformation. An optimal list of inequivalent one-dimensional subalgebras of the maximal Lie invariance algebra is constructed and used for Lie reductions. Non-Lie solutions are …

2012-12-23math-phmath.APmath.MP

Hamiltonian regularisation of shallow water equations with uneven bottom

The regularisation of nonlinear hyperbolic conservation laws has been a problem of great importance for achieving uniqueness of weak solutions and also for accurate numerical simulations. In a recent work, the first two authors proposed a so-called Hamiltonian regularisation for nonlinear shallow water and isentropic Euler equations. The characteristic property of this method is that the regularisation of solutions is achieved without adding any artificial dissipation or ispersion. The regularised system possesses a Hamiltonian structure and, thus, formally preserves the corresponding energy f…

2019-09-17cs.NAmath.NAnlin.SI

基于网格和网格无关方案的浅水方程平衡方法

Well-balanced mesh-based and meshless schemes for the shallow-water equations

本文提出了一种通用标准，用于精确保持浅水方程中的'静湖'解，通过精心设计的空间导数算子和兼容的平均规则，实现了网格和网格无关方案的平衡特性。

2017-11-28cs.NAmath.NAphysics.ao-ph