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This monograph presents the design, implementation, and evaluation of Pyroclast, a modular high-performance Python framework for large-scale geodynamic simulations. Pyroclast addresses limitations of legacy geodynamics solvers, often…

Mathematical Software · Computer Science 2026-03-17 Marcel Ferrari

Over times shorter than that required for relaxation of enthalpy, a liquid can exhibit striking heterogeneities. The picture of these heterogeneities is complex with transient patches of rigidity, irregular yet persistent, intersected by…

Soft Condensed Matter · Physics 2010-09-30 Peter Harrowell

The Multiparticle Collision Dynamics technique (MPC) for hydrodynamics simulations is generalized to binary fluid mixtures and multiphase flows, by coupling the particle-based fluid dynamics to a Ginzburg-Landau free-energy functional for…

Soft Condensed Matter · Physics 2024-06-03 Thomas Eisenstecken , Raphael Hornung , Roland G. Winkler , Gerhard Gompper

Humans can easily describe, imagine, and, crucially, predict a wide variety of behaviors of liquids--splashing, squirting, gushing, sloshing, soaking, dripping, draining, trickling, pooling, and pouring--despite tremendous variability in…

Artificial Intelligence · Computer Science 2020-07-01 Christopher J. Bates , Ilker Yildirim , Joshua B. Tenenbaum , Peter Battaglia

ThermoLIB is Python/Cython library designed to be used as a post-processing tool for constructing free energy surfaces from the output of molecular simulations, transforming them between different collective variables (CVs) and extracting…

Chemical Physics · Physics 2026-02-02 Massimo Bocus , Louis Vanduyfhuys

Fluid dynamics plays a crucial role in various multiphysics applications, including energy systems, electronics cooling, and biomedical engineering. Developing models for complex coupled systems can be challenging and time-consuming. In…

Computational Engineering, Finance, and Science · Computer Science 2024-12-09 Markus Lohmayer , Michael Kraus , Sigrid Leyendecker

When is good, good enough? This question lingers in approximation theory and numerical methods as a competition between accuracy and practicality. Numerical Analysis is traditionally where the rubber meets the road: students begin to use…

History and Overview · Mathematics 2019-02-21 Nicholas A. Battista , Matthew S. Mizuhara

The smoothed particle hydrodynamics (SPH) method has been increasingly used to study fluid problems in recent years; but its computational cost can be high if high resolution is required. In this study, an adaptive resolution method based…

Computational Physics · Physics 2019-01-23 Xiufeng Yang , Song-Charng Kong

This paper proposes a two-stage framework named ST-PAD for spatio-temporal fluid dynamics modeling in the field of earth sciences, aiming to achieve high-precision simulation and prediction of fluid dynamics through spatio-temporal physics…

Machine Learning · Computer Science 2024-03-22 Hao Wu , Fan Xu , Yifan Duan , Ziwei Niu , Weiyan Wang , Gaofeng Lu , Kun Wang , Yuxuan Liang , Yang Wang

An effective computer program for three dimensional relativistic hydrodynamical model has been developed. It implements a new approach to the early hot phase of relativistic heavy-ion collisions. The computer program simulates time-space…

Nuclear Theory · Physics 2009-11-11 Daniel Kikola , Wiktor Peryt , Yuri M. Sinyukov , Marcin Slodkowski , Marek Szuba

Multi-particle collision dynamics is an appealing numerical technique aiming at simulating fluids at the mesoscopic scale. It considers molecular details in a coarse-grained fashion and reproduces hydrodynamic phenomena. Here, the…

Soft Condensed Matter · Physics 2019-03-28 H. Híjar

Exascale supercomputing unleashes the potential for simulations of astrophysical systems with unprecedented resolution. Taking full advantage of this computing power requires the development of new algorithms and numerical methods that are…

Instrumentation and Methods for Astrophysics · Physics 2025-10-01 L. Sewanou , G. Laibe , B. Commerçon

In this paper, we first develop a mathematical model for long-range, hydrophobic attraction between amphiphilic particles. The non-pairwise interactions follow from the first variation of a hydrophobic attraction domain functional. The…

Numerical Analysis · Mathematics 2019-07-19 Szu-Pei P. Fu , Rolf J. Ryham , Andreas Klöckner , Matt Wala , Shidong Jiang , Yuan-Nan Young

As deep learning technology advances and more urban spatial-temporal data accumulates, an increasing number of deep learning models are being proposed to solve urban spatial-temporal prediction problems. However, there are limitations in…

Machine Learning · Computer Science 2024-03-08 Jiawei Jiang , Chengkai Han , Wenjun Jiang , Wayne Xin Zhao , Jingyuan Wang

Robotics demands simulation that can reason about the diversity of real-world physical interactions, from rigid to deformable objects and fluids. Current simulators address this by stitching together multiple subsolvers for different…

Cosmological field-level inference requires differentiable forward models that solve the challenging dynamics of gas and dark matter under hydrodynamics and gravity. We propose a hybrid approach where gravitational forces are computed using…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-31 Arne Thomsen , Tilman Tröster , François Lanusse

The last decade has witnessed the emergence of massive mobility data sets, such as tracks generated by GPS devices, call detail records, and geo-tagged posts from social media platforms. These data sets have fostered a vast scientific…

Physics and Society · Physics 2021-06-07 Luca Pappalardo , Filippo Simini , Gianni Barlacchi , Roberto Pellungrini

A recently introduced particle-based model for fluid dynamics with effective excluded volume interactions is analyzed in detail. The interactions are modeled by means of stochastic multiparticle collisions which are biased and depend on…

Soft Condensed Matter · Physics 2007-05-23 Thomas Ihle , Erkan Tuzel

We present a "multipatch" infrastructure for numerical simulation of fluid problems in which sub-regions require different gridscales, different grid geometries, different physical equations, or different reference frames. Its key element…

Instrumentation and Methods for Astrophysics · Physics 2018-07-11 Hotaka Shiokawa , Roseanne M. Cheng , Scott C. Noble , Julian H. Krolik

While students may find spline interpolation quite digestible, based on their familiarity with continuity of a function and its derivatives, some of its inherent value may be missed when students only see it applied to standard data…

History and Overview · Mathematics 2021-02-09 Nicholas A. Battista
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