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In this work, we propose an adaptive geometric multigrid method for the solution of large-scale finite cell flow problems. The finite cell method seeks to circumvent the need for a boundary-conforming mesh through the embedding of the…

Numerical Analysis · Mathematics 2026-01-21 M. Saberi , A. Vogel

In this work, we develop an accelerated sharp-interface method based on (Hu et al., JCP, 2006) and (Luo et al., JCP, 2015) for multiphase flows simulations. Traditional multiphase simulation methods use the minimum time step of all fluids…

Computational Physics · Physics 2019-05-13 Tian Long , Jinsheng Cai , Shucheng Pan

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

We present the reduced basis method as a tool for developing emulators for equations with tunable parameters within the context of the nuclear many-body problem. The method uses a basis expansion informed by a set of solutions for a few…

Nuclear Theory · Physics 2022-11-30 Edgard Bonilla , Pablo Giuliani , Kyle Godbey , Dean Lee

Sampling the phase space of molecular systems -- and, more generally, of complex systems effectively modeled by stochastic differential equations -- is a crucial modeling step in many fields, from protein folding to materials discovery.…

Machine Learning · Computer Science 2023-12-12 Ellis R. Crabtree , Juan M. Bello-Rivas , Andrew L. Ferguson , Ioannis G. Kevrekidis

The present paper deals with the problem of improving the efficiency of large scale turbulent flow simulations. The high-fidelity methods for modelling turbulent flows become available for a wider range of applications thanks to the…

Computational Physics · Physics 2018-04-10 Boris Krasnopolsky

The multi-scale flow mechanism is crucial for force and heat loaded on near-space and reentry vehicles, the control of spacecraft by thrusters, the propelling and cooling of MEMS, etc. Since the continuum flow and rarefied flow often exist…

Computational Physics · Physics 2021-07-28 Sirui Yang , Sha Liu , Chengwen Zhong , Junzhe Cao , Congshan Zhuo

The full-wave simulation of complex electromagnetic surfaces such as reflectarrays and metasurfaces is a challenging problem. In this paper, we present a macromodeling approach to efficiently simulate complex electromagnetic surfaces…

Computational Engineering, Finance, and Science · Computer Science 2020-12-02 Utkarsh R. Patel , Piero Triverio , Sean V. Hum

We introduce Coordinate Condensation, a variant of coordinate descent that accelerates physics-based simulation by augmenting local coordinate updates with a Schur-complement-based subspace correction. Recent work by Lan et al. 2025 (JGS2)…

Graphics · Computer Science 2025-10-15 Ty Trusty

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

This paper introduces the multiplicative variant of the recently proposed asynchronous additive coarse-space correction method. Definition of an asynchronous extension of multiplicative correction is not straightforward, however, our…

Numerical Analysis · Mathematics 2023-12-20 Guillaume Gbikpi-Benissan , Frédéric Magoulès

This paper presents our work on designing a parallel platform for large-scale reservoir simulations. Detailed components, such as grid and linear solver, and data structures are introduced, which can serve as a guide to parallel reservoir…

Computational Engineering, Finance, and Science · Computer Science 2018-09-05 Hui Liu , Kun Wang , Bo Yang , Zhangxin Chen

Numerical simulations for flow and transport in subsurface porous media often prove computationally prohibitive due to property data availability at multiple spatial scales that can vary by orders of magnitude. A number of model order…

Numerical Analysis · Mathematics 2018-03-13 Gurpreet Singh , Wingtat Leung , Mary F. Wheeler

The exact numerical simulation of plasma turbulence is one of the assets and challenges in fusion research. For grid-based solvers, sufficiently fine resolutions are often unattainable due to the curse of dimensionality. The sparse grid…

Computational Physics · Physics 2023-08-09 Theresa Pollinger , Johannes Rentrop , Dirk Pflüger , Katharina Kormann

Multiscale problems can usually be approximated through numerical homogenization by an equation with some effective parameters that can capture the macroscopic behavior of the original system on the coarse grid to speed up the simulation.…

Numerical Analysis · Mathematics 2024-06-21 Fan Wang , Yating Wang , Wing Tat Leung , Zongben Xu

Multiphase flows are an important class of fluid flow and their study facilitates the development of diverse applications in industrial, natural, and biomedical systems. We consider a model that uses a continuum description of both phases…

Fluid Dynamics · Physics 2025-08-04 Bindi M. Nagda , Aaron Barrett , Boyce E. Griffith , Aaron L. Fogelson , Jian Du

World models simulate environment dynamics from raw sensory inputs like video. However, using them for planning can be challenging due to the vast and unstructured search space. We propose a robust and highly parallelizable planner that…

Machine Learning · Computer Science 2026-02-03 Michael Psenka , Michael Rabbat , Aditi Krishnapriyan , Yann LeCun , Amir Bar

In this article we propose a scalable shape optimization algorithm which is tailored for large scale problems and geometries represented by hierarchically refined meshes. Weak scalability and grid independent convergence is achieved via a…

Optimization and Control · Mathematics 2022-05-09 Jose Pinzon , Martin Siebenborn

Scalable surrogate models enable efficient emulation of computer models (or simulators), particularly when dealing with large ensembles of runs. While Gaussian process (GP) models are commonly employed for emulation, they face limitations…

Methodology · Statistics 2025-10-07 Grant Hutchings , Derek Bingham , Kellin Rumsey , Earl Lawrence

In this work we analyze strategies for convolutional neural network scaling; that is, the process of scaling a base convolutional network to endow it with greater computational complexity and consequently representational power. Example…

Computer Vision and Pattern Recognition · Computer Science 2021-03-12 Piotr Dollár , Mannat Singh , Ross Girshick