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A discontinuous Galerkin method for the discretization of the compressible Euler equations, the governing equations of inviscid fluid dynamics, on Cartesian meshes is developed for use of Graphical Processing Units via OCCA, a unified…

Computational Physics · Physics 2020-09-01 Andrew C. Kirby , Dimitri J. Mavriplis

This paper presents a workflow for synthesizing near-optimal FPGA implementations for structured-mesh based stencil applications for explicit solvers. It leverages key characteristics of the application class, its computation-communication…

Hardware Architecture · Computer Science 2021-01-08 Kamalavasan Kamalakkannan , Gihan R. Mudalige , Istvan Z. Reguly , Suhaib A. Fahmy

The transport and manipulation of particles and cells in microfluidic devices has become a core methodology in domains ranging from molecular biology to manufacturing and drug design. The rational design and operation of such devices can…

Computational Engineering, Finance, and Science · Computer Science 2020-07-15 Dmitry Alexeev , Lucas Amoudruz , Sergey Litvinov , Petros Koumoutsakos

The high cost of chemistry integration is a significant computational bottleneck for realistic reactive-flow simulations using operator splitting. Here we present a methodology to accelerate the solution of the chemical kinetic ordinary…

Computational Physics · Physics 2022-05-13 Nicholas J. Curtis , Kyle E. Niemeyer , Chih-Jen Sung

Due to new government legislation, customers' environmental concerns and continuously rising cost of energy, energy efficiency is becoming an essential parameter of industrial manufacturing processes in recent years. Most efforts…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-27 Jia Luo , Shigeru Fujimura , Didier El Baz

We revisit the implementation of iterative solvers on discrete graphics processing units and demonstrate the benefit of implementations using extensive kernel fusion for pipelined formulations over conventional implementations of classical…

Mathematical Software · Computer Science 2016-11-07 Karl Rupp , Josef Weinbub , Ansgar Jüngel , Tibor Grasser

Multiphysics incompressible fluid dynamics simulations play a crucial role in understanding intricate behaviors of many complex engineering systems that involve interactions between solids, fluids, and various phases like liquid and gas.…

Computational Engineering, Finance, and Science · Computer Science 2023-12-27 Akash Dhruv

The reliability of cardiovascular computational models depends on the accurate solution of the hemodynamics, the realistic characterization of the hyperelastic and electric properties of the tissues along with the correct description of…

This paper proposes a novel GPU-based active nematic flow solver based on the smoothed particle hydrodynamics (SPH) method. Nematohydrodynamics equations are discretized using the SPH algorithm, and the periodic domain is enforced using the…

Fluid Dynamics · Physics 2022-03-01 Roozbeh Saghatchi , Deniz Can Kolukisa , Mehmet Yildiz

Fluid flows are omnipresent in nature and engineering disciplines. The reliable computation of fluids has been a long-lasting challenge due to nonlinear interactions over multiple spatio-temporal scales. The compressible Navier-Stokes…

Fluid Dynamics · Physics 2021-12-10 Deniz A. Bezgin , Aaron B. Buhendwa , Nikolaus A. Adams

In nature, many complex multi-physics coupling problems exhibit significant diffusivity inhomogeneity, where one process occurs several orders of magnitude faster than others in temporal. Simulating rapid diffusion alongside slower…

Numerical Analysis · Mathematics 2024-08-22 Zirui Mao , Shenyang Hu , Ang Li

This paper presents a novel adjoint solver for differentiable fluid simulation based on bidirectional flow maps. Our key observation is that the forward fluid solver and its corresponding backward, adjoint solver share the same flow map as…

Graphics · Computer Science 2025-11-04 Zhiqi Li , Jinjin He , Barnabás Börcsök , Taiyuan Zhang , Duowen Chen , Tao Du , Ming C. Lin , Greg Turk , Bo Zhu

In some recent works [G. Dimarco, L. Pareschi, Hybrid multiscale methods I. Hyperbolic Relaxation Problems, Comm. Math. Sci., 1, (2006), pp. 155-177], [G. Dimarco, L. Pareschi, Hybrid multiscale methods II. Kinetic equations, SIAM…

Numerical Analysis · Mathematics 2011-02-07 Giacomo Dimarco , Lorenzo Pareschi

As graph analytics often involves compute-intensive operations, GPUs have been extensively used to accelerate the processing. However, in many applications such as social networks, cyber security, and fraud detection, their representative…

Data Structures and Algorithms · Computer Science 2018-06-28 Mo Sha , Yuchen Li , Bingsheng He , Kian-Lee Tan

In this paper, the discontinuous Galerkin based high-order gas-kinetic schemes (DG-HGKS) are developed for the three-dimensional Euler and Navier-Stokes equations. Different from the traditional discontinuous Galerkin (DG) methods with…

Numerical Analysis · Mathematics 2022-03-01 Yuhang Wang , Liang Pan

Current supercomputers often have a heterogeneous architecture using both CPUs and GPUs. At the same time, numerical simulation tasks frequently involve multiphysics scenarios whose components run on different hardware due to multiple…

Computational Engineering, Finance, and Science · Computer Science 2024-12-10 Samuel Kemmler , Christoph Rettinger , Ulrich Rüde , Pablo Cuéllar , Harald Köstler

Modern graphics processing units (GPUs) lead to a major increase in the performance of the computation of astrophysical simulations. Owing to the different nature of GPU architecture compared to traditional central processing units (CPUs)…

Earth and Planetary Astrophysics · Physics 2016-04-13 Christoph M. Schäfer , Sven Riecker , Thomas I. Maindl , Roland Speith , Samuel Scherrer , Wilhelm Kley

We present a Pseudo-Transient Topology Optimization (PeTTO) approach that can leverage graphics processing units (GPUs) to efficiently solve single-material and multi-material topology optimization problems. By integrating PeTTO with phase…

Numerical Analysis · Mathematics 2025-09-10 Mingyuan Yang , Qian Yu , Chao Yang

This study presents an efficient and accurate discrete adjoint gas-kinetic scheme (GKS) for sensitivity analysis and aerodynamic shape optimization in continuum flow regimes. Developed using the backward mode of algorithmic differentiation…

Fluid Dynamics · Physics 2026-04-17 Hangkong Wu , Yuze Zhu , Yajun Zhu , Kun Xu

We present the implementation and performance of a class of directionally unsplit Riemann-solver-based hydrodynamic schemes on Graphic Processing Units (GPU). These schemes, including the MUSCL-Hancock method, a variant of the MUSCL-Hancock…

Instrumentation and Methods for Astrophysics · Physics 2011-09-05 Hsi-Yu Schive , Ui-Han Zhang , Tzihong Chiueh