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We present a numerical method specifically designed for simulating three-dimensional fluid--structure interaction (FSI) problems based on the reference map technique (RMT). The RMT is a fully Eulerian FSI numerical method that allows fluids…

Fluid Dynamics · Physics 2022-05-18 Yuexia L. Lin , Nicholas J. Derr , Chris H. Rycroft

This work surveys an r-adaptive moving mesh finite element method for the numerical solution of premixed laminar flame problems. Since the model of chemically reacting flow involves many different modes with diverse length scales, the…

Numerical Analysis · Mathematics 2020-08-26 Zhen Sun , Malte Braack , Jens Lang

We present an improved method for computing incompressible viscous flow around suspended rigid particles using a fixed and uniform computational grid. The main idea is to incorporate Peskin's regularized delta function approach [Acta…

Fluid Dynamics · Physics 2018-09-24 Markus Uhlmann

We model the flow behaviour of dense melts of flexible and semiflexible ring polymers in the presence of walls using a hybrid multiscale approach. Specifically, we perform molecular dynamics simulations and apply the Irving-Kirkwood formula…

Numerical Analysis · Mathematics 2026-05-25 Ranajay Datta , Mária Lukáčová-Medviďová , Andreas Schömer , Peter Virnau

This study proposes a high-order multi-scale method tailored for time-dependent nonlinear thermo-electro-mechanical coupling problems of composite structures with highly spatial heterogeneity, which incorporate temperature-dependent…

Numerical Analysis · Mathematics 2026-04-22 Hao Dong

The immersed boundary method is a mathematical framework for modeling fluid-structure interaction. This formulation describes the momentum, viscosity, and incompressibility of the fluid-structure system in Eulerian form, and it uses…

Numerical Analysis · Mathematics 2020-02-26 Ben Vadala-Roth , Shashank Acharya , Neelesh A Patankar , Simone Rossi , Boyce E Griffith

The paper presents a versatile framework for solids which undergo nonisothermal processes with irreversibly changing microstructure at large strains. It outlines rate-type and incremental variational principles for the full thermomechanical…

Numerical Analysis · Mathematics 2022-04-12 Stephan Teichtmeister , Marc-Andre Keip

We introduce a numerical workflow to model and simulate transient close-contact melting processes based on the space-time finite element method. That is, we aim at computing the velocity at which a forced heat source melts through a…

Numerical Analysis · Mathematics 2023-06-01 Leonardo Boledi , Fabian Key , Benjamin Terschanski , Stefanie Elgeti , Julia Kowalski

Smoothed particle hydrodynamics is a particle-based, fully Lagrangian, method for fluid-flow simulations. In this work, fundamental concepts of the method are first briefly recalled. Then, we present a thorough comparison of three different…

Fluid Dynamics · Physics 2012-08-22 Kamil Szewc , Jacek Pozorski , Jean-Pierre Minier

Within this work, we develop a phase-field description for simulating fractures in incompressible materials. Standard formulations are subject to volume-locking when the solid is (nearly) incompressible. We propose an approach that builds…

Numerical Analysis · Mathematics 2024-12-20 Katrin Mang , Thomas Wick , Winnifried Wollner

We design a class of spatially inhomogeneous heat spreaders in the context of steady-state thermal conduction leading to spatially uniform thermal fields across a large convective surface. Each spreader has a funnel-shaped design, either in…

Materials Science · Physics 2022-02-25 Eleanor R. Russell , Raphaël C. Assier , William J. Parnell

In our recent work [H. Zhang, F.X. Trias, A. Oliva, D. Yang, Y. Tan, Y. Sheng. PIBM: Particulate immersed boundary method for fluid-particle interaction problems. Powder Technology. 272(2015), 1-13.], a particulate immersed boundary method…

Computational Physics · Physics 2015-02-05 Hao Zhang , Haizhuan Yuan , F. Xavier Trias , Aibing Yu , Yuanqiang Tan , Assensi Oliva

A new diffuse interface model for a two-phase flow of two incompressible fluids with different densities is introduced using methods from rational continuum mechanics. The model fulfills local and global dissipation inequalities and is also…

Fluid Dynamics · Physics 2010-11-03 Helmut Abels , Harald Garcke , Günther Grün

In this paper, we present an hp-adaptive hybrid Discontinuous Galerkin/Finite Volume method for simulating compressible, turbulent multi-component flows. Building on a previously established hp-adaptive strategy for hyperbolic gas- and…

A second-order-accurate finite volume method, hybridized by blending an extended double-flux algorithm and a traditionally conservative scheme, is developed. In this scheme, hybrid convective fluxes as well as hybrid interpolation…

Computational Physics · Physics 2024-11-21 Yuqi Wang , Ralf Deiterding , Jianhan Liang

A hybrid PIC-fluid model is proposed for three dimensional numerical simulation of laser-plasma interaction. Ions are treated kinetically, electrons as a ten-moment fluid, capturing ion-scale dynamics, pressure anisotropy, and…

Plasma Physics · Physics 2026-01-06 Andrey Sladkov

This paper deals with the numerical modelling of the interaction between a fluid and an incompressible solid (Neo Hookean) in small perturbations with the lattice Boltzmann method (LBM). In order to use a monolithic formulation and to solve…

Computational Physics · Physics 2020-11-18 Sébastien Mey , Erwan Liberge , Claudine Béghein

In this paper, a hybrid quasi-static atomistic simulation method at finite temperature is developed, which combines the advantages of MD for thermal equilibrium and atomic-scale finite element method (AFEM) for efficient equilibration. Some…

Atomic Physics · Physics 2015-06-17 Ran Xu , Bin Liu

Purpose - This paper presents a first step toward developing a comprehensive methodology for fully resolved numerical simulations of fusion deposition modeling. Design/methodology/approach - A front-tracking/finite volume method previously…

Fluid Dynamics · Physics 2018-08-03 Huanxiong Xia , Jiacai Lu , Sadegh Dabiri , Gretar Tryggvason

High-accuracy, high-efficiency physics-based fluid-solid interaction is essential for reality modeling and computer animation in online games or real-time Virtual Reality (VR) systems. However, the large-scale simulation of incompressible…

Graphics · Computer Science 2023-05-08 Jin Li , Yang Gao , Ju Dai , Shuai Li , Aimin Hao , Hong Qin
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