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We present a discrete filter for subgrid-scale (SGS) model, coupled with the discretization corrected particle strength exchange (DC-PSE) method for the simulation of three-dimensional viscous incompressible flow, at high Reynolds flows.…

流体动力学 · 物理学 2024-08-13 Anas Obeidat

We investigate artificial compressibility (AC) techniques for the time discretization of the incompressible Navier-Stokes equations. The space discretization is based on a lowest-order face-based scheme supporting polytopal meshes, namely…

数值分析 · 数学 2021-05-04 Riccardo Milani , Jérôme Bonelle , Alexandre Ern

We introduce a novel artificial compressibility technique to approximate the incompressible Navier-Stokes equations with variable fluid properties such as density and dynamical viscosity. The proposed scheme used the couple pressure and…

数值分析 · 数学 2025-04-22 Cappanera Loic , Giordano Salvatore

In fluid dynamics, an important problem is linked to the knowledge of the fluid pressure. Recently, another approach to study incompressible fluid flow was suggested. It consists in using a general pressure equation (GPE) derived from…

流体动力学 · 物理学 2020-05-14 Adrien Toutant

The simulation of fluid flow problems, specifically incompressible flows governed by the Navier-Stokes equations (NSE), holds fundamental significance in a range of scientific and engineering applications. Traditional numerical methods…

计算物理 · 物理学 2024-09-10 Abdullah Abukhwejah , Pankaj Jagad , Ravi Samtaney , Peter Schmid

We compare three iterative pressure correction schemes for solving the Navier-Stokes equations with a focus on exactly divergence free solution with higher order discontinuous Galerkin discretisations. The investigated schemes are the…

计算物理 · 物理学 2019-03-29 Tormod Landet , Mikael Mortensen

We propose first-order pressure-correction scheme for the incompressible Navier-Stokes equations, incorporating the recently developed the Dynamically Regularized Lagrange Multiplier (DRLM) methods. The resulting algorithms are fully…

数值分析 · 数学 2026-03-18 Yi Shen , Rihui Lan , Hua Wang

A new recovery technique based on discretization corrected particle strength exchange (DC PSE) operators is developed in this paper. DC PSE is a collocation method that can be used to compute derivatives directly at nodal points, instead of…

This paper investigates a modification of the fictitious domain method with continuation in the lower-order coefficients for the unsteady Navier-Stokes equations governing the motion of an incompressible homogeneous fluid in a bounded 2D or…

A conservative discretization of incompressible Navier-Stokes equations is developed based on discrete exterior calculus (DEC). A distinguishing feature of our method is the use of an algebraic discretization of the interior product…

流体动力学 · 物理学 2016-04-12 Mamdouh S. Mohamed , Anil N. Hirani , Ravi Samtaney

Incompressible flow solvers based on strong-form meshfree methods represent arbitrary geometries without the need for a global mesh system. However, their local evaluations make it difficult to satisfy incompressibility at the discrete…

数值分析 · 数学 2026-05-05 Takeharu Matsuda , Satoshi Ii

We present a robust and accurate discretization approach for incompressible turbulent flows based on high-order discontinuous Galerkin methods. The DG discretization of the incompressible Navier-Stokes equations uses the local…

流体动力学 · 物理学 2018-08-01 Niklas Fehn , Wolfgang A Wall , Martin Kronbichler

We consider a stabilization method for divergence-conforming B-spline discretizations of the incompressible Navier--Stokes problem wherein jumps in high-order normal derivatives of the velocity field are penalized across interior mesh…

数值分析 · 数学 2022-01-28 Guoxiang Grayson Tong , David Kamensky , John A. Evans

In this work, we introduce a mass, energy, enstrophy and vorticity conserving (MEEVC) mixed finite element discretization for two-dimensional incompressible Navier-Stokes equations as an alternative to the original MEEVC scheme proposed in…

数值分析 · 数学 2023-07-18 Yi Zhang , Artur Palha , Marc Gerritsma , Qinghe Yao

The Navier-Stokes-Maxwell-Stefan system describes the dynamics of an incompressible gaseous mixture in isothermal condition. In this paper we set up an artificial compressibility type approximation. In particular we focus on the existence…

偏微分方程分析 · 数学 2018-05-18 Michele Dolce , Donatella Donatelli

To increase the reliability of simulations by particle methods for incompressible viscous flow problems, convergence studies and improvements of accuracy are considered for a fully explicit particle method for incompressible Navier--Stokes…

数值分析 · 计算机科学 2019-07-03 Y. Imoto , S. Tsuzuki , D. Nishiura

In this paper we study the stochastic Navier-Stokes equation with artificial compressibility. The main results of this work are the existence and uniqueness theorem for strong solutions and the limit to incompressible flow. These results…

概率论 · 数学 2010-12-07 Utpal Manna , Jose-Luis Menaldi , Sivaguru S. Sritharan

A constructive numerical approximation of the two-dimensional unsteady stochastic Navier-Stokes equations of an incompressible fluid is proposed via a pseudo-compressibility technique involving a parameter $\epsilon$. Space and time are…

数值分析 · 数学 2022-05-02 Jad Doghman

We present a strong form, meshless point collocation explicit solver for the numerical solution of the transient, incompressible, viscous Navier-Stokes (N-S) equations in two dimensions. We numerically solve the governing flow equations in…

We propose an implicit Discontinuous Galerkin (DG) discretization for incompressible two-phase flows using an artificial compressibility formulation. The conservative level set (CLS) method is employed in combination with a reinitialization…

数值分析 · 数学 2025-08-27 Giuseppe Orlando
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