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Surface-subsurface flow models for hydrological applications solve a coupled multiphysics problem. This usually consists of some form of the Richards and shallow water equations. A typical setup couples these two nonlinear partial…

数值分析 · 数学 2025-04-25 Valentina Schüller , Philipp Birken , Andreas Dedner

The present paper addresses the development and implementation of the first high-order Flux Reconstruction (FR) solver for high-speed flows within the open-source COOLFluiD (Computational Object-Oriented Libraries for Fluid Dynamics)…

计算物理 · 物理学 2019-07-24 Ray Vandenhoeck , Andrea Lani

The stability of most surface-tension-driven interfacial flow simulations is governed by the capillary time-step constraint. This concerns particularly small-scale flows and, more generally, highly-resolved liquid-gas simulations with…

流体动力学 · 物理学 2024-10-24 Romain Janodet , Berend van Wachem , Fabian Denner

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…

数值分析 · 数学 2016-03-21 Hsin-Chiang Chen , Roman Samulyak , Wei Li

We study three different time integration methods for a dynamic pore network model for immiscible two-phase flow in porous media. Considered are two explicit methods, the forward Euler and midpoint methods, and a new semi-implicit method…

计算物理 · 物理学 2018-07-03 Magnus Aa. Gjennestad , Morten Vassvik , Signe Kjelstrup , Alex Hansen

We describe an implementation of compressible inviscid fluid solvers with block-structured adaptive mesh refinement on Graphics Processing Units using NVIDIA's CUDA. We show that a class of high resolution shock capturing schemes can be…

宇宙学与河外天体物理 · 物理学 2014-11-20 Peng Wang , Tom Abel , Ralf Kaehler

We outline a 2D algorithm for solving incompressible flow--structure interaction problems for mixed rigid/soft body representations, within a consistent framework based on the remeshed vortex method. We adopt the one--continuum formulation…

计算物理 · 物理学 2021-08-18 Yashraj Bhosale , Tejaswin Parthasarathy , Mattia Gazzola

Multiphase flow in porous media occurs in several disciplines including petroleum reservoir engineering, petroleum systems' analysis, and CO$_2$ sequestration. While simulations often use a fully implicit discretization to increase the time…

流体动力学 · 物理学 2017-06-12 Daniel A. Cogswell , Michael L. Szulczewski

An exponential time-integrator scheme of second-order accuracy based on the predictor-corrector methodology, denoted PCEXP, is developed to solve multi-dimensional nonlinear partial differential equations pertaining to fluid dynamics. The…

计算物理 · 物理学 2018-05-09 Shu-Jie Li , Li-Shi Luo , Z. J. Wang , Lili Ju

The complexity of binary droplet collisions increases for the collision of immiscible liquids with the occurrence of triple lines and thin encapsulating films. The Volume of Fluid (VOF) method is extended with an efficient interface…

流体动力学 · 物理学 2023-06-22 Johanna Potyka , Kathrin Schulte

This paper is concerned with the partitioned iterative formulation to simulate the fluid-structure interaction of a nonlinear multibody system in an incompressible turbulent flow. The proposed formulation relies on a three-dimensional (3D)…

流体动力学 · 物理学 2019-03-05 P S Gurugubelli , R Ghoshal , V Joshi , R K Jaiman

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…

In the present work, we propose a novel hybrid explicit jump immersed interface approach in conjunction with a higher order compact (HOC) scheme for simulating transient complex flows governed by the streamfunction-vorticity…

数值分析 · 数学 2022-09-13 Raghav Singhal , Jiten C Kalita

A comprehensive scheme for the spatial discretisation of continuity equation, momentum advection and normal and shear stresses at the fluid interfaces is presented for numerically simulating the incompressible two phase flows based on the…

流体动力学 · 物理学 2014-08-11 Jun-De Li

A multigrid scheme is proposed for the pressure equation of the incompressible unsteady fluid flow equations, allowing efficient implementation on clusters of modern CPUs, many integrated core devices (MICs), and graphics processing units…

数值分析 · 数学 2014-08-19 György Tegze , Gyula I. Tóth

Convection schemes are a large source of error in global weather and climate models, and modern resolutions are often too fine to parameterise convection but are still too coarse to fully resolve it. Recently, numerical solutions of…

数值分析 · 数学 2020-06-24 William A McIntyre , Hilary Weller , Christopher E Holloway

While various phase-field models have recently appeared for two-phase fluids with different densities, only some are known to be thermodynamically consistent, and practical stable schemes for their numerical simulation are lacking. In this…

We present a method for computing fluid-structure interaction problems for multi-body systems. The fluid flow equations are solved using a fractional-step method with the immersed boundary method proposed by Uhlmann [J. Comput Phys. 209…

流体动力学 · 物理学 2022-03-02 Gonzalo Arranz , Cayetano Martínez-Muriel , Oscar Flores , Manuel García-Villalba

In this article we consider the numerical modeling and simulation via the phase field approach of two-phase flows of different densities and viscosities in superposed fluid and porous layers. The model consists of the…

数值分析 · 数学 2021-12-09 Yali Gao , Daozhi Han , Xiaoming He , Ulrich Rüde

A modified HLLC-type contact preserving Riemann solver for incompressible two-phase flows using the artificial compressibility formulation is presented. Here, the density is omitted from the pressure evolution equation. Also, while…

计算物理 · 物理学 2022-07-14 Sourabh P. Bhat , J. C. Mandal