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Computational Fluid Dynamics (CFD) simulation by the numerical solution of the Navier-Stokes equations is an essential tool in a wide range of applications from engineering design to climate modeling. However, the computational cost and…

Computational Physics · Physics 2021-11-29 Mateus Dias Ribeiro , Abdul Rehman , Sheraz Ahmed , Andreas Dengel

Thus far, Computational Fluid Dynamics (CFD) simulations fail to reliably predict the electrostatic charging of powder during pneumatic conveying. The lack of a predictive tool is one reason for unwanted discharges and growing deposits that…

Fluid Dynamics · Physics 2022-05-18 Holger Grosshans , Simon Jantac

We deal with accelerating the solution of a sequence of large linear systems solved by preconditioned conjugate gradient method (PCG). The sequence originates from time-stepping within a simulation of an unsteady incompressible flow. We…

Numerical Analysis · Mathematics 2026-02-04 Martin Hanek , Jan Papež , Jakub Šístek

Quantum computational fluid dynamics (QCFD) offers a promising alternative to classical computational fluid dynamics (CFD) by leveraging quantum algorithms for higher efficiency. This paper introduces a comprehensive QCFD method, including…

A new approach to simulating rotational cooling using a direct simulation Monte Carlo (DSMC) method is described and applied to the rotational cooling of ammonia seeded into a helium supersonic jet. The method makes use of ab initio…

Chemical Physics · Physics 2015-11-25 O. Schullian , J. Loreau , N. Vaeck , A. van der Avoird , B. R. Heazlewood , C. J. Rennick , T. P. Softley

The design of microfluidic devices is a cumbersome and tedious process that can be significantly improved by simulation. Methods based on Computational Fluid Dynamics (CFD) are considered state-of-the-art, but require extensive compute time…

Computational Engineering, Finance, and Science · Computer Science 2024-01-17 Michel Takken , Robert Wille

A 3-dimensional GPU Poisson solver is developed for all possible combinations of free and periodic boundary conditions (BCs) along the three directions. It is benchmarked for various grid sizes and different BCs and a significant…

Computational Physics · Physics 2015-06-12 Nazim Dugan , Luigi Genovese , Stefan Goedecker

We present a fast and accurate algorithm to solve Poisson problems in complex geometries, using regular Cartesian grids. We consider a variety of configurations, including Poisson problems with interfaces across which the solution is…

Computational Physics · Physics 2017-11-07 Alexandre Noll Marques , Jean-Christophe Nave , Rodolfo Ruben Rosales

A state-of-the-art large eddy simulation code has been developed to solve compressible flows in turbomachinery. The code has been engineered with a high degree of scalability, enabling it to effectively leverage the many-core architecture…

The aerodynamic performance of an isolated coaxial rotor in forward flight is analyzed by a high-fidelity computational fluid dynamics (CFD) approach. The analysis focuses on the high-speed forward flight with an advance ratio of 0.5 or…

Fluid Dynamics · Physics 2024-06-28 Kaito Hayami , Hideaki Sugawara , Takumi Yumino , Yasutada Tanabe , Masaharu Kameda

We present GPU implementations of two fast force calculation methods, based on series expansions of the Poisson equation. One is the Self-Consistent Field (SCF) method, which is a Fourier-like expansion of the density field in some basis…

Instrumentation and Methods for Astrophysics · Physics 2015-06-22 Yohai Meiron , Baile Li , Kelly Holley-Bockelmann , Rainer Spurzem

In this paper we present a method to treat interface jump conditions for constant coefficients Poisson problems that allows the use of standard "black box" solvers, without compromising accuracy. The basic idea of the new approach is…

Numerical Analysis · Mathematics 2011-09-30 Alexandre Noll Marques , Jean-Christophe Nave , Rodolfo Ruben Rosales

A three-dimensional (3D) Poisson solver with longitudinal periodic and transverse open boundary conditions can have important applications in beam physics of particle accelerators. In this paper, we present a fast efficient method to solve…

Accelerator Physics · Physics 2017-09-13 Ji Qiang

Self-consistent multi-particle simulation plays an important role in studying beam-beam effects and space charge effects in high-intensity beams. The Poisson equation has to be solved at each time-step based on the particle density…

Accelerator Physics · Physics 2014-10-15 J. Qiang , S. Paret

The high computational cost associated with solving for detailed chemistry poses a significant challenge for predictive computational fluid dynamics (CFD) simulations of turbulent reacting flows. These models often require solving a system…

Computational Physics · Physics 2024-03-05 Tadbhagya Kumar , Anuj Kumar , Pinaki Pal

We present a parallel implementation of a direct solver for the Poisson's equation on extreme-scale supercomputers with accelerators. We introduce a chunked-pencil decomposition as the domain-decomposition strategy to distribute work among…

Computational Physics · Physics 2020-07-15 Jaber J. Hasbestan , Inanc Senocak

Optimal exploitation of supercomputing resources for the evaluation of electrostatic forces remains a challenge in molecular dynamics simulations of very large systems. The most efficient methods are currently based on particle-mesh Ewald…

Computational Physics · Physics 2025-09-23 Federica Troni , Davide Grassano , Jayashree Narayan , Benoît Roux , Sara Bonella

Poisson's equation is the canonical elliptic partial differential equation. While there exist fast Poisson solvers for finite difference and finite element methods, fast Poisson solvers for spectral methods have remained elusive. Here, we…

Numerical Analysis · Mathematics 2017-11-01 Daniel Fortunato , Alex Townsend

Thus far, Computational Fluid Dynamics (CFD) simulations fail to predict the electrostatic charging of particle-gas flows reliably. The lack of a predictive tool leads to powder operations prone to deposits and discharges, making chemical…

Fluid Dynamics · Physics 2022-12-12 Holger Grosshans , Simon Jantač

We introduce a technique that simplifies the problem of imposing jump conditions on interfaces that are not aligned with a computational grid in the context of the Correction Function Method (CFM). The CFM offers a general framework to…

Computational Physics · Physics 2019-07-11 Alexandre Noll Marques , Jean-Christophe Nave , Rodolfo Ruben Rosales