色散浅水流近岸标量输运的gpu加速数值模型

IF 7.2 2区物理与天体物理 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computer Physics Communications Pub Date : 2025-02-11 DOI:10.1016/j.cpc.2025.109539

Sooncheol Hwang , Patrick J. Lynett , Sangyoung Son

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引用次数: 0

摘要

介绍了一种采用boussinesq型波浪求解器的gpu加速近岸标量输运模型。深度积分平流扩散方程被实现到Celeris Advent中，这是第一个开发的开源Boussinesq波模型，配备了一个支持用户和计算单元之间同时可视化和数据交换的交互系统。采用有限体积-有限差分混合格式对控制方程进行离散化，采用满足标量浓度守恒性质的改进HLL Riemann求解器精确逼近标量数值通量。源函数造波器结合岸岸周期性边界条件和破波模型，可以更精确地复制近岸水动力过程。利用解析解和实验数据进行了数值试验，验证了模型的正确性。最后，对现场尺度的染料释放实验进行了数值再现，评估了该模型在色散流体力学预测近岸标量输运中的适用性。拟议的模型预计将成为实时评估和减轻海洋污染事件的先进工具。程序摘要程序标题：Celeris-with-scalar-transportCPC库链接到程序文件：https://doi.org/10.17632/bk7v57wsxj.1Developer's存储库链接：https://doi.org/10.5281/zenodo.10609197Licensing条款：GNU通用公共许可证3编程语言：c++， hlsl补充材料：电影1-4问题的性质：由于计算效率高，近岸标量输运现象一般通过求解浅水方程和平流扩散方程的数值模型来研究。然而，这些模型无法模拟波浪的色散效应，而这种色散效应在近岸流体力学中是很重要的。带boussinesq型求解器的标量输运模型可以精确地近似近岸标量输运过程，但由于计算量大，限制了其应用，影响了实时模拟。基于之前的工作（Celeris Advent），该软件可以实现近岸标量传输的实时数值模拟以及同步可视化。它还支持交互式环境，允许用户在模型运行时更改水面、水深和标量浓度。求解方法：采用有限体积-有限差分混合格式求解扩展的Boussinesq方程和平流-扩散方程。各种组件，包括改进的HLL黎曼解算器、涡粘型破波模型和具有周期性边界条件的源函数制波器，已经被新实现，以便更好地近似近岸地区由破散浅水波控制的标量输运过程。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A GPU-accelerated numerical model for nearshore scalar transport by dispersive shallow water flows

A GPU-accelerated nearshore scalar transport model with the Boussinesq-type wave solver is introduced. The depth-integrated advection-diffusion equation is implemented into Celeris Advent, the firstly-developed open-source Boussinesq wave model equipped with an interactive system supporting simultaneous visualization and data exchange between a user and the computing unit. A hybrid finite volume-finite difference scheme is adopted to discretize the governing equations, and the modified HLL Riemann solver for satisfying the conservation property of the scalar concentration is applied for an accurate approximation of scalar numerical flux. A source-function wavemaker in conjunction with alongshore periodic boundary conditions and a wave-breaking model are implemented to more precisely replicate the nearshore hydrodynamic processes. Several numerical tests using analytical solutions and experimental data are performed to validate the model. Finally, field-scale dye release experiments are reproduced numerically, assessing the applicability of the proposed model in predicting nearshore scalar transport by dispersive hydrodynamics. The proposed model is expected to serve as an advanced tool for real-time assessment and mitigation of marine pollution incidents.

Program summary

Program Title: Celeris-with-scalar-transport

CPC Library link to program files: https://doi.org/10.17632/bk7v57wsxj.1

Developer's repository link: https://doi.org/10.5281/zenodo.10609197

Licensing provisions: GNU General Public License 3

Programming language: C++, HLSL

Supplementary material: Movies 1-4

Nature of problem: Nearshore scalar transport phenomena have generally been investigated through the numerical models that solve the shallow water equations and the advection-diffusion equation due to their high computational efficiency. However, these models are incapable of simulating the dispersive effects of the waves, which are significant in nearshore hydrodynamics. The scalar transport model with a Boussinesq-type solver can precisely approximate the nearshore scalar transport processes, but its application has been limited by the heavy computational load, which hinders real-time simulations. Building on previous work (Celeris Advent), this software enables real-time numerical simulation of nearshore scalar transport as well as simultaneous visualization. It also supports an interactive environment, allowing the user to change the water surface, bathymetry, and scalar concentration while the model is running.

Solution method: A hybrid finite volume-finite difference scheme is used to solve the extended Boussinesq equations and the advection-diffusion equation. Various components, including the modified HLL Riemann solver, an eddy-viscosity type wave-breaking model, and a source-function wavemaker with periodic boundary conditions, have been newly implemented for better approximations of scalar transport processes governed by breaking dispersive shallow water waves in nearshore regions.

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来源期刊

Computer Physics Communications 物理-计算机：跨学科应用

CiteScore

12.10

自引率

3.20%

发文量

287

审稿时长

5.3 months

期刊介绍： The focus of CPC is on contemporary computational methods and techniques and their implementation, the effectiveness of which will normally be evidenced by the author(s) within the context of a substantive problem in physics. Within this setting CPC publishes two types of paper. Computer Programs in Physics (CPiP) These papers describe significant computer programs to be archived in the CPC Program Library which is held in the Mendeley Data repository. The submitted software must be covered by an approved open source licence. Papers and associated computer programs that address a problem of contemporary interest in physics that cannot be solved by current software are particularly encouraged. Computational Physics Papers (CP) These are research papers in, but are not limited to, the following themes across computational physics and related disciplines. mathematical and numerical methods and algorithms; computational models including those associated with the design, control and analysis of experiments; and algebraic computation. Each will normally include software implementation and performance details. The software implementation should, ideally, be available via GitHub, Zenodo or an institutional repository.In addition, research papers on the impact of advanced computer architecture and special purpose computers on computing in the physical sciences and software topics related to, and of importance in, the physical sciences may be considered.