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Modern computing is shifting from homogeneous CPU-centric systems to heterogeneous systems with closely integrated CPUs and GPUs. While the CPU software stack has benefited from decades of memory safety hardening, the GPU software stack…

Cryptography and Security · Computer Science 2026-03-09 Mingkai Li , Joseph Devietti , Suman Jana , Tanvir Ahmed Khan

We present and analyze a parallel solver for the solution of fluid structure interaction problems described by a fictitious domain approach. In particular, the fluid is modeled by the non-stationary incompressible Navier-Stokes equations,…

Numerical Analysis · Mathematics 2024-02-07 Daniele Boffi , Fabio Credali , Lucia Gastaldi , Simone Scacchi

Recent simulations indicate that streamwise-preferential porous materials have the potential to reduce drag in wall-bounded turbulent flows(Gomez-de-Segura & Garcia-Mayoral 2019). This paper extends the resolvent formulation to study the…

Fluid Dynamics · Physics 2021-03-26 Andrew Chavarin , Garazi Gomez-de-Segura , Ricardo Garcia-Mayoral , Mitul Luhar

Methods for solving hyperbolic systems typically depend on unknown ordering (e.g., Gauss-Seidel, or sweep/wavefront/marching methods) to achieve good convergence. For many discretisations, mesh types or decompositions these methods do not…

Numerical Analysis · Mathematics 2025-11-19 S. Dargaville , R. P. Smedley-Stevenson , P. N. Smith , C. C. Pain

We extend the shifted boundary method (SBM) to the simulation of incompressible fluid flow using immersed octree meshes. Previous work on SBM for fluid flow primarily utilized two- or three-dimensional unstructured tetrahedral grids.…

We present an efficient solver for massively-parallel direct numerical simulations of incompressible turbulent flows. The method uses a second-order, finite-volume pressure-correction scheme, where the pressure Poisson equation is solved…

Fluid Dynamics · Physics 2019-09-13 Pedro Costa

Understanding shock-solid interactions remains a central challenge in compressiblefluiddynamics. WepresentJAX-Shock: afully-differentiable,GPU-accelerated, high-order shock-capturing solver for efficient simulation of the compressible…

Fluid Dynamics · Physics 2026-01-09 Bo Zhang

A novel parallel technique for Fourier-Galerkin pseudo-spectral methods with applications to two-dimensional Navier-Stokes equations and inviscid Boussinesq approximation equations is presented. It takes the advantage of the programming…

Computational Physics · Physics 2009-11-10 Z. Yin , Li Yuan , Tao Tang

These notes accompany the open-source code published in GitHub which implements a GPU-based line-segment, surface-triangle intersection algorithm in CUDA. It mentions some relevant works and discusses issues specific to this implementation.…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-08 Raymond Leung

In this paper we would like to share our experience for transforming a parallel code for a Computational Fluid Dynamics (CFD) problem into a parallel version for the RedisDG workflow engine. This system is able to capture heterogeneous and…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-25 Fayssal Benkhaldoun , Christophe Cérin , Imad Kissami , Walid Saad

Advances in deep learning have enabled physics-informed neural networks to solve partial differential equations. Numerical differentiation using the finite-difference (FD) method is efficient in physics-constrained designs, even in…

Machine Learning · Computer Science 2024-12-02 Yiye Zou , Tianyu Li , Lin Lu , Jingyu Wang , Shufan Zou , Laiping Zhang , Xiaogang Deng

CaNS-Fizzy -- Fizzy for short -- is a GPU-accelerated numerical solver for massively-parallel Direct Numerical Simulations (DNS) of incompressible two-phase flows. A DNS enables direct access to all flow quantities, resolved in time and…

Fluid Dynamics · Physics 2025-09-12 G. Lupo , P. Wellens , P. Costa

Fluid-structure interaction (FSI) simulation of biological systems presents significant computational challenges, particularly for applications involving large structural deformations and contact mechanics, such as heart valve dynamics.…

Quantitative Methods · Quantitative Biology 2026-02-13 Ryan T. Black , Steve A. Maas , Wensi Wu , Jalaj Maheshwari , Tzanio Kolev , Jeffrey A. Weiss , Matthew A. Jolley

Experimental mean flows are commonly used to study wall-bounded turbulence. However, these measurements are often unable to resolve the near-wall region and thus introduce ambiguity in the velocity closest to the wall. This poses a source…

Fluid Dynamics · Physics 2025-11-04 Salvador Rey Gomez , Tomek Jaroslawski

Efficient simulation of the Navier-Stokes equations for fluid flow is a long standing problem in applied mathematics, for which state-of-the-art methods require large compute resources. In this work, we propose a data-driven approach that…

Computer Vision and Pattern Recognition · Computer Science 2022-11-10 Jonathan Tompson , Kristofer Schlachter , Pablo Sprechmann , Ken Perlin

This report presents a comprehensive analysis of the performance of GPU accelerated meshfree CFD solvers for two-dimensional compressible flows in Fortran, C++, Python, and Julia. The programming model CUDA is used to develop the GPU codes.…

Programming Languages · Computer Science 2023-05-03 Nischay Ram Mamidi , Kumar Prasun , Dhruv Saxena , Anil Nemili , Bharatkumar Sharma , S. M. Deshpande

GPUs have climbed up to the top of supercomputer systems making life harder to many legacy scientific codes. Nowadays, many recipes are being used in such code's portability, without any clarity of which is the best option. We present a…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-03 Guillermo Oyarzun , Daniel Mira , Guillaume Houzeaux

The physical fidelity of turbulence models can benefit from a partial resolution of fluctuations, but doing so often comes with an increase in computational cost. To explore this trade-off in the context of wall-bounded flows, this paper…

Fluid Dynamics · Physics 2025-07-16 Tanner Ragan , Mark Warnecke , Samuel T. Stout , Perry L. Johnson

In this paper, we discuss selected adjoint approaches for the turbulent flow control. In particular, we focus on the application of adjoint solvers for the scope of noise reduction, in which flow solutions are obtained by large eddy and…

Optimization and Control · Mathematics 2018-05-01 Emre Özkaya , Nicolas R. Gauger , Daniel Marinc , Holger Foysi

The study deals with the parallelization of 2D and 3D finite element based Navier-Stokes codes using direct solvers. Development of sparse direct solvers using multifrontal solvers has significantly reduced the computational time of direct…

Mathematical Software · Computer Science 2009-10-13 Mandhapati P. Raju