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We introduce adaptive particle refinement for compressible smoothed particle hydrodynamics (SPH). SPH calculations have the natural advantage that resolution follows mass, but this is not always optimal. Our implementation allows the user…

Instrumentation and Methods for Astrophysics · Physics 2024-09-19 Rebecca Nealon , Daniel Price

A new Lagrangian particle method for solving Euler equations for compressible inviscid fluid or gas flows is proposed. Similar to smoothed particle hydrodynamics (SPH), the method represents fluid cells with Lagrangian particles and is…

Numerical Analysis · Mathematics 2016-03-21 Hsin-Chiang Chen , Roman Samulyak , Wei Li

This paper presents a general and robust method for the fluid-structure interaction of membranes and shells undergoing large displacement and large added-mass effects by coupling an immersed-boundary method with a shell finite-element…

Fluid Dynamics · Physics 2023-08-15 Marin Lauber , Gabriel D. Weymouth , Georges Limbert

This work develops advanced numerical methods for free-surface simulations of polymer mixing processes, integrating a Volume of Fluid (VOF) interface-capturing approach with a non-conforming Immersed Boundary (IB) method to model two-phase…

The computational cost associated with simulating fluid flows can make it infeasible to run many simulations across multiple flow conditions. Building upon concepts from generative modeling, we introduce a new method for learning neural…

Computational Physics · Physics 2019-12-17 Jeremy Morton , Freddie D. Witherden , Mykel J. Kochenderfer

An advanced Volume of Fluid (VOF) method is presented that enables performant three-dimensional Direct Numerical Simulations (DNS) of the interaction of two immiscible fluids in a gaseous environment with large topology changes, e.g.,…

Fluid Dynamics · Physics 2023-11-08 Johanna Potyka , Kathrin Schulte

Over the past decades, the volume-of-fluid (VOF) method has been the method of choice for simulating atomization processes, owing to its unique ability to discretely conserve mass. Current state-of-the-art VOF methods, however, rely on the…

Computational Physics · Physics 2024-01-29 Fabien Evrard , Robert Chiodi , Berend van Wachem , Olivier Desjardins

The direct-forcing immersed boundary method (DF-IBM) algorithm previously developed by the authors is extended by coupling the Navier-Stokes equations with the Newton-Euler equations for rigid body dynamics within the DF-IBM framework. This…

Fluid Dynamics · Physics 2026-04-28 E. Farah , A. Ouahsine , P. G. Verdin , B. Kaoui

Active Flux is a third order accurate numerical method which evolves cell averages and point values at cell interfaces independently. It naturally uses a continuous reconstruction, but is stable when applied to hyperbolic problems. In this…

Numerical Analysis · Mathematics 2022-12-06 Wasilij Barsukow , Jonas P. Berberich

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

Forward flux sampling (FFS) provides a convenient and efficient way to simulate rare events in equilibrium or non-equilibrium systems. FFS ratchets the system from an initial state to a final state via a series of interfaces in phase space.…

Chemical Physics · Physics 2015-06-15 Kai Kratzer , Axel Arnold , Rosalind J. Allen

We present our progress on the application of physics informed deep learning to reservoir simulation problems. The model is a neural network that is jointly trained to respect governing physical laws and match boundary conditions. The…

Fluid Dynamics · Physics 2021-04-26 Cedric Fraces Gasmi , Hamdi Tchelepi

Real-life control tasks involve matters of various substances---rigid or soft bodies, liquid, gas---each with distinct physical behaviors. This poses challenges to traditional rigid-body physics engines. Particle-based simulators have been…

Machine Learning · Computer Science 2019-04-19 Yunzhu Li , Jiajun Wu , Russ Tedrake , Joshua B. Tenenbaum , Antonio Torralba

This work discusses the correct modeling of the fully nonlinear free surface boundary conditions to be prescribed in water waves flow simulations based on potential flow theory. The main goal of such a discussion is that of identifying a…

Numerical Analysis · Mathematics 2023-06-06 Andrea Mola , Nicola Giuliani , Óscar Crego , Gianluigi Rozza

We present Piecewise Rectified Flow (PeRFlow), a flow-based method for accelerating diffusion models. PeRFlow divides the sampling process of generative flows into several time windows and straightens the trajectories in each interval via…

Machine Learning · Computer Science 2024-09-04 Hanshu Yan , Xingchao Liu , Jiachun Pan , Jun Hao Liew , Qiang Liu , Jiashi Feng

We present an efficient and accurate immersed boundary (IB) finite element (FE) solver for numerically solving incompressible Navier--Stokes equations. Particular emphasis is given to internal flows with complex geometries (blood flow in…

Computational Engineering, Finance, and Science · Computer Science 2020-07-07 G. C. Bourantas , D. L. Lampropoulos , B. F. Zwick , V. C. Loukopoulos , A. Wittek , K. Miller

A new computational method is presented to resolve hydrodynamic interactions acting on solid particles immersed in incompressible host fluids. In this method, boundaries between solid particles and host fluids are replaced with a continuous…

Soft Condensed Matter · Physics 2009-11-10 Y. Nakayama , R. Yamamoto

Computational modeling of the melt pool dynamics in laser-based powder bed fusion metal additive manufacturing (PBF-LB/M) promises to shed light on fundamental mechanisms of defect generation. These processes are accompanied by rapid…

Computational Engineering, Finance, and Science · Computer Science 2026-03-05 Nils Much , Magdalena Schreter-Fleischhacker , Peter Munch , Martin Kronbichler , Wolfgang A. Wall , Christoph Meier

This paper describes a work in progress about software and hardware architecture to steer and control an ongoing fluid simulation in a context of a serious game application. We propose to use the Lattice Boltzmann Method as the simulation…

Graphics · Computer Science 2019-12-11 Mengchen Wang , Nicolas Ferey , Patrick Bourdot , Frederic Magoules

We present a hybrid Volume-of-Fluid (VoF) Phase-Field method for general soluble surfactant-laden interfacial flows. The scheme retains the VoF method for interface tracking and momentum solution, while a diffused Phase-Field serves as a…

Fluid Dynamics · Physics 2026-05-28 Ilies Haouche , Benjamin Reichert , Michaël Baudoin , Palas Kumar Farsoiya