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We present a GPU-native mesh adaptation procedure that incorporates a complex geometry represented with a triangle mesh within a primary Cartesian computational grid organized as a forest of octrees. A C++/CUDA program implements the…

计算几何 · 计算机科学 2025-02-25 Khodr Jaber , Ebenezer E. Essel , Pierre E. Sullivan

Adaptive Mesh Refinement (AMR) enables efficient computation of flows by providing high resolution in critical regions while allowing for coarsening in areas where fine detail is unnecessary. While early AMR software packages relied solely…

计算物理 · 物理学 2025-02-26 Khodr Jaber , Ebenezer Essel , Pierre Sullivan

This paper presents a heterogeneous adaptive mesh refinement (AMR) framework for efficient simulation of moderately stiff reactive problems. This framework features an elaborate subcycling-in-time algorithm along with a specialized…

计算物理 · 物理学 2025-06-04 Yuqi Wang , Yadong Zeng , Ralf Deiterding , Jianhan Liang

We describe a high-performance implementation of the lattice Boltzmann method (LBM) for sparse 3D geometries on graphic processors (GPU). The main contribution of this work is a data layout that allows to minimise the number of redundant…

分布式、并行与集群计算 · 计算机科学 2017-10-10 Tadeusz Tomczak , Roman G. Szafran

Despite decades of research, creating accurate, robust, and efficient lattice Boltzmann methods (LBM) on non-uniform grids with seamless GPU acceleration remains challenging. This work introduces a novel strategy to address this challenge…

计算物理 · 物理学 2026-01-06 Christophe Coreixas , Jonas Latt

Implicit time integration is key to robustly simulating stiff materials and large deformations, but its performance is often dominated by repeatedly solving large linear systems. Adaptive coarsening can reduce this cost by concentrating…

图形学 · 计算机科学 2026-05-07 Xuan Wang , Zhaofeng Luo , Minchen Li , Taku Komura , Kemeng Huang

Simulating fluid-granular flows is crucial for understanding natural disasters, industrial processes, and visually realistic phenomena in computer graphics. These systems are challenging to simulate because of the strong nonlinear coupling…

图形学 · 计算机科学 2026-03-17 Xingqiao Li , Kui Wu , Haozhe Su , Tianhong Gao , Mengyu Chu , Chenfanfu Jiang , Wei Li , Baoquan Chen

I consider techniques for Berger-Oliger adaptive mesh refinement (AMR) when numerically solving partial differential equations with wave-like solutions, using characteristic (double-null) grids. Such AMR algorithms are naturally recursive,…

广义相对论与量子宇宙学 · 物理学 2015-03-13 Jonathan Thornburg

Lattice-Boltzmann methods are known for their simplicity, efficiency and ease of parallelization, usually relying on uniform Cartesian meshes with a strong bond between spatial and temporal discretization. This fact complicates the crucial…

数值分析 · 数学 2022-10-19 Thomas Bellotti , Loïc Gouarin , Benjamin Graille , Marc Massot

There exists an increasing interest for using immersed boundary methods (IBMs) (Peskin 2000) to model moving objects in computational fluid dynamics. Indeed, this approach is particularly efficient, because the fluid mesh does not require…

计算物理 · 物理学 2019-04-04 Joel Beny , Jonas Latt

In this paper, a new progressive mesh algorithm is introduced in order to perform fast physical simulations by the use of a lattice Boltzmann method (LBM) on a single-node multi-GPU architecture. This algorithm is able to mesh automatically…

分布式、并行与集群计算 · 计算机科学 2015-10-14 Julien Duchateau , François Rousselle , Nicolas Maquignon , Gilles Roussel , Christophe Renaud

Efficient and scalable 3D surface reconstruction from range data remains a core challenge in computer graphics and vision, particularly in real-time and resource-constrained scenarios. Traditional volumetric methods based on…

图形学 · 计算机科学 2025-11-27 Lorenzo De Rebotti , Emanuele Giacomini , Giorgio Grisetti , Luca Di Giammarino

We present here the first systematic treatment of the problems posed by the visualization and analysis of large-scale, parallel adaptive mesh refinement (AMR) simulations on an Eulerian grid. When compared to those obtained by constructing…

图形学 · 计算机科学 2017-02-17 Guénolé Harel , Jacques-Bernard Lekien , Philippe P. Pébaÿ

Adaptive mesh refinement (AMR) is a classical technique about local refinement in space where needed, thus effectively reducing computational costs for HPC-based physics simulations. Although AMR has been used for many years, little…

流体动力学 · 物理学 2024-05-14 Dewen Liu , Shuai He , Haoran Cheng , Yadong Zeng

The immersed boundary (IB) method has become a leading approach in cardiac fluid-structure interaction (FSI) modeling due to its ability to handle large deformations and complex geometries without requiring mesh regeneration. However, the…

计算物理 · 物理学 2025-09-16 Pengfei Ma , Li Cai , Xuan Wang , Hao Gao

Structured Adaptive Mesh Refinement (SAMR) is a popular numerical technique to study processes with high spatial and temporal dynamic range. It reduces computational requirements by adapting the lattice on which the underlying differential…

天体物理仪器与方法 · 物理学 2015-06-12 Ralf Kaehler , Tom Abel

We show feasibility and benefits of porting an adaptive multi-scale kinetic-fluid code to CPU-GPU systems. Challenges are due to the irregular data access for adaptive Cartesian mesh, vast difference of computational cost between kinetic…

计算物理 · 物理学 2015-07-23 Sergey Zabelok , Robert Arslanbekov , Vladimir Kolobov

We describe a high-performance implementation of the lattice-Boltzmann method (LBM) for sparse geometries on graphic processors. In our implementation we cover the whole geometry with a uniform mesh of small tiles and carry out calculations…

分布式、并行与集群计算 · 计算机科学 2018-05-30 Tadeusz Tomczak , Roman G. Szafran

In this paper, we present a GPU-accelerated direct-sum boundary integral method to solve the linear Poisson-Boltzmann (PB) equation. In our method, a well-posed boundary integral formulation is used to ensure the fast convergence of Krylov…

数值分析 · 数学 2015-06-12 Weihua Geng , Ferosh Jacob

In this article, we present a novel approach for block-structured adaptive mesh refinement (AMR) that is suitable for extreme-scale parallelism. All data structures are designed such that the size of the meta data in each distributed…

分布式、并行与集群计算 · 计算机科学 2018-07-24 Florian Schornbaum , Ulrich Rüde
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