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The most difficult aspect of the realistic modeling of granular materials is how to capture the real shape of the particles. Here we present a method to simulate granular materials with complex-shaped particles. The particle shape is…

Materials Science · Physics 2008-04-18 F. Alonso-Marroquin , Yucang Wang

The numerical approximation of non-isothermal liquid-vapor flow within the compressible regime is a difficult task because complex physical effects at the phase interfaces can govern the global flow behavior. We present a sharp interface…

Fluid Dynamics · Physics 2015-11-12 Stefan Fechter , Claus-Dieter Munz , Christian Rohde , Christoph Zeiler

The implementation of a new particle module describing the physics of dust grains coupled to the gas via drag forces is the subject of this work. The proposed particle-gas hybrid scheme has been designed to work in Cartesian as well as in…

Earth and Planetary Astrophysics · Physics 2020-01-08 A. Mignone , M. Flock , B. Vaidya

A simple and efficient one-dimensional discrete Boltzmann method is developed for compressible flows with tunable specific heat ratios by incorporating extra degrees of freedom. To guarantee Galilean invariance in numerical simulations, a…

Fluid Dynamics · Physics 2026-03-03 Yaofeng Li , Chuandong Lin

One key issue in the probability density function (PDF) approach for disperse two-phase turbulent flows is to close the diffusion term in the phase space. This study aimed to derive a kinetic equation for particle dispersion in turbulent…

Statistical Mechanics · Physics 2020-07-15 De-yu Zhong , Guang-qian Wang , Tie-jian Li , Ming-xi Zhang , You Xia

The HLLC Riemann solver, which resolves both the shock waves and contact discontinuities, is popular to the computational fluid dynamics community studying compressible flow problems with mesh methods. Although it was reported to be used in…

Fluid Dynamics · Physics 2014-02-13 Z. H. Ma , H. Wang , L. Qian

Simulating fluid-granular flows is crucial for understanding natural disasters, industrial processes, and visually realistic phenomena in computer graphics. These systems are challenging to simulate because of the strong nonlinear coupling…

Graphics · Computer Science 2026-03-17 Xingqiao Li , Kui Wu , Haozhe Su , Tianhong Gao , Mengyu Chu , Chenfanfu Jiang , Wei Li , Baoquan Chen

The seven-equation model is a compressible multiphase formulation that allows for phasic velocity and pressure disequilibrium. These equations are solved using a diffused interface method that models resolved multiphase flows. Novel…

Fluid Dynamics · Physics 2023-01-24 Achyut Panchal , Spencer H. Bryngelson , Suresh Menon

This work primarily focuses on the study of three gradient reconstruction techniques applied to the calculation of viscous terms in a cell-centered, finite volume formulation for general unstructured grids. The work also addresses different…

Fluid Dynamics · Physics 2026-02-13 Frederico Bolsoni Oliveira , João Luiz F. Azevedo

The present study examines the possibility of numerical simulation of a strong shock wave propagating over the surface of a dense layer of particles poured onto an impermeable wall using the Baer-Nunizato two-phase flow model. The setting…

Fluid Dynamics · Physics 2023-10-23 Pavel Utkin , Petr Chuprov

With the aim of efficiently simulating three-dimensional multiphase turbulent flows with a phase-field method, we propose a new discretization scheme for the biharmonic term (the 4th-order derivative term) of the Cahn-Hilliard equation.…

Fluid Dynamics · Physics 2022-05-24 Hao-Ran Liu , Chong Shen Ng , Kai Leong Chong , Detlef Lohse , Roberto Verzicco

Predicting particle segregation has remained challenging due to the lack of a general model for the segregation velocity that is applicable across a range of granular flow geometries. Here, a segregation velocity model for dense granular…

Soft Condensed Matter · Physics 2025-10-22 Yifei Duan , Lu Jing , Paul B. Umbanhowar , Julio M. Ottino , Richard M. Lueptow

The paper investigates shock-induced vortical flows within inhomogeneous media of nonuniform thermodynamic properties. Numerical simulations are performed using an Eularian type mathematical model for compressible multi-component flow…

Fluid Dynamics · Physics 2017-06-28 A. F. Nowakowski , A. Ballil , F. C. G. A Nicolleau

We consider dry granular flow down an inclined chute with a localised contraction theoretically and numerically. The flow regimes are predicted through a novel extended one-dimensional hydraulic theory. A discrete particle method validated…

Geophysics · Physics 2015-04-20 D. R. Tunuguntla , T. Weinhart , A. R. Thornton , O. Bokhove

A second-order accurate and robust numerical scheme is developed for the Kapila model to simulate compressible multiphase flows. The scheme is formulated within the finite volume framework with the generalized Riemann problem (GRP) solver…

Numerical Analysis · Mathematics 2025-06-10 Tuowei Chen , Zhifang Du

We have developed a one-dimensional code to solve ultra-relativistic hydrodynamic problems, using the Glimm method for an accurate treatment of shocks and contact discontinuities. The implementation of the Glimm method is based on an exact…

Astrophysics · Physics 2009-10-28 L. Wen , A. Panaitescu , P. Laguna

We have developed a new, very efficient numerical scheme to solve the CR diffusion convection equation that can be applied to the study of the nonlinear time evolution of CR modified shocks for arbitrary spatial diffusion properties. The…

Astrophysics · Physics 2009-11-11 T. W. Jones , H. Kang

This paper extends the high-order compact gas-kinetic scheme (CGKS) to compressible flow simulations on a rotating coordinate frame. The kinetic equation with the inclusion of centrifugal and Coriolis acceleration is used in the…

Computational Physics · Physics 2022-11-01 Yue Zhang , Xing Ji , Kun Xu

This paper presents a hybrid numerical method for linear collisional kinetic equations with diffusive scaling. The aim of the method is to reduce the computational cost of kinetic equations by taking advantage of the lower dimensionality of…

Numerical Analysis · Mathematics 2022-02-09 Tino Laidin

We investigate the statistical recovery of missing physics and turbulent phenomena in fluid flows using generative machine learning. Here we develop a two-stage super-resolution method using spectral filtering to restore the high-wavenumber…