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Viscous streaming refers to the rectified, steady flows that emerge when a liquid oscillates around an immersed microfeature, typically a solid body or a bubble. The ability of such features to locally concentrate stresses produces strong…

We present a novel high order semi-implicit hybrid finite volume/virtual element numerical scheme for the solution of compressible flows on Voronoi tessellations. The method relies on the flux splitting of the compressible Navier-Stokes…

Numerical Analysis · Mathematics 2024-05-24 Walter Boscheri , Saray Busto , Michael Dumbser

We propose to augment standard grid-based fluid solvers with pointwise divergence-free velocity interpolation, thereby ensuring exact incompressibility down to the sub-cell level. Our method takes as input a discretely divergence-free…

Graphics · Computer Science 2023-11-28 Jumyung Chang , Ruben Partono , Vinicius C. Azevedo , Christopher Batty

A Cartesian grid method combined with a simplified gas kinetic scheme is presented for subsonic and supersonic viscous flow simulation on complex geometries. Under the Cartesian mesh, the computational grid points are classified into four…

Fluid Dynamics · Physics 2015-02-17 Songze Chen , Kun Xu , Zhihui Li

Compressible interfacial multiphase flows (CIMF) are essential to different applications, such as liquid fuel injection in supersonic propulsion systems. Since high-level details in CIMF are often difficult to measure in experiments,…

Fluid Dynamics · Physics 2023-11-16 Bo Zhang , Bradley Boyd , Yue Ling

Simulating the interaction of fluids with immersed moving solids is playing an important role for gaining a better quantitative understanding of how fluid dynamics is altered by the presence of obstacles and which forces are exerted on the…

This paper introduces a novel approach to compute the numerical fluxes at the cell boundaries in the finite volume approach. Explicit gradients used in deriving the reconstruction polynomials are replaced by high-order gradients computed by…

Numerical Analysis · Mathematics 2021-06-04 Amareshwara Sainadh Chamarthi , Steven H. Frankel , Abhishek Chintagunta

Video frame interpolation (VFI) is currently a very active research topic, with applications spanning computer vision, post production and video encoding. VFI can be extremely challenging, particularly in sequences containing large motions,…

Computer Vision and Pattern Recognition · Computer Science 2024-11-22 Duolikun Danier , Fan Zhang , David Bull

This study proposes an algorithm for modeling compressible flows in spherical shells in nearly incompressible and weakly compressible regimes based on an implicit direction splitting approach. The method retains theoretically expected…

Numerical Analysis · Mathematics 2021-04-21 Roman Frolov , Peter Minev , Aziz Takhirov

In this work, a new discretization approach for coupled free and porous-medium flows is introduced, which uses a finite volume staggered-grid method for the discretization of the Navier-Stokes equations in the free-flow subdomain, while a…

Numerical Analysis · Mathematics 2021-12-22 Martin Schneider , Dennis Gläser , Kilian Weishaupt , Edward Coltman , Bernd Flemisch , Rainer Helmig

An immersed-boundary method for the incompressible Navier--Stokes equations is presented. It employs discrete forcing for a sharp discrimination of the solid-fluid interface, and achieves second-order accuracy, demonstrated in examples with…

The multiscale patch scheme is built from given small micro-scale simulations of complicated physical processes to empower large macro-scale simulations. By coupling small patches of simulations over unsimulated spatial gaps, large savings…

Computational Physics · Physics 2019-12-18 J. E. Bunder , J. Divahar , Ioannis G. Kevrekidis , Trent W. Mattner , A. J. Roberts

In many natural and industrial applications, turbulent flows encompass some form of dispersed particles. Although this type of multiphase turbulent flow is omnipresent, its numerical modeling has proven to be a remarkably challenging…

Fluid Dynamics · Physics 2024-07-02 Xander M. de Wit , Rudie P. J. Kunnen , Herman J. H. Clercx , Federico Toschi

This paper contributes to the recent investigations of Lagrangian methods based on Voronoi meshes. The aim is to design a new conservative numerical scheme that can simulate complex flows and multi-phase problems with more accuracy than SPH…

Numerical Analysis · Mathematics 2024-10-21 Ondřej Kincl , Ilya Peshkov , Walter Boscheri

Fluid flow simulation is a highly active area with applications in a wide range of engineering problems and interactive systems. Meshless methods like the Moving Particle Semi-implicit (MPS) are a great alternative to deal efficiently with…

We present a Pressure-Oscillation-Free projection algorithm for large-density-ratio multiphase fluid-structure interaction simulations, implemented on a non-staggered Cartesian grid. The incompressible Navier-Stokes is decoupled with an…

Fluid Dynamics · Physics 2024-04-24 Xiaoshuang Wang , Liwei Tan , Wenjun Ying , Enhao Wang , Yao Xiao , Liangqi Zhang , Zhong Zeng

The Immersed Boundary (IB) method is a mathematical framework for constructing robust numerical methods to study fluid-structure interaction in problems involving an elastic structure immersed in a viscous fluid. The IB formulation uses an…

Numerical Analysis · Mathematics 2017-08-23 Yuanxun Bao , Aleksandar Donev , Boyce E. Griffith , David M. McQueen , Charles S. Peskin

We propose a method for effectively upscaling incompressible viscous flow in large random polydispersed sphere packings: the emphasis of this method is on the determination of the forces applied on the solid particles by the fluid. Pore…

Soft Condensed Matter · Physics 2015-03-19 B. Chareyre , A. Cortis , E. Catalano , E. Barthélémy

We present a novel method to interpolate smoke and liquid simulations in order to perform data-driven fluid simulations. Our approach calculates a dense space-time deformation using grid-based signed-distance functions of the inputs. A key…

Graphics · Computer Science 2017-04-05 Nils Thuerey

We present a simple and efficient variational finite difference method for simulating time-dependent Stokes flow in the presence of irregular free surfaces and moving solid boundaries. The method uses an embedded boundary approach on…

Computational Physics · Physics 2011-05-25 Christopher Batty , Robert Bridson