Numerical simulations of two-dimensional incompressible Navier-Stokes equations by the backward substitution projection method

Y Zhang, T Rabczuk, J Lin, J Lu, CS Chen - Applied Mathematics and …, 2024 - Elsevier
The backward substitution method is a newly developed meshless method that has been
used for the simulation of many problems in science and engineering with high accuracy …

A coupled volume-of-fluid and level set method based on general curvilinear grids with accurate surface tension calculation

Z Cao, D Sun, J Wei, B Yu, J Li - Journal of Computational Physics, 2019 - Elsevier
In this paper, a coupled volume-of-fluid (VOF) and level set (LS) method on general
curvilinear grids, combining the advantages of VOF method and LS method is developed for …

Advancing Finite Difference Solutions for Two‐Dimensional Incompressible Navier–Stokes Equations Using Artificial Compressibility Method and Sparse Matrix …

EG Tsega - Journal of Applied Mathematics, 2024 - Wiley Online Library
In this article, a numerical scheme for solving two‐dimensional (2D) time‐dependent
incompressible Navier–Stokes equations is presented. The artificial compressibility …

Finite surface discretization for incompressible Navier-Stokes equations and coupled conservation laws

A Hokpunna, T Misaka, S Obayashi… - Journal of …, 2020 - Elsevier
We present a new Finite Surface Discretization (FSD) aiming at the incompressible Navier-
Stokes Equations (NSE) and other coupled conservation laws. This discretization defines …

[PDF][PDF] Benchmark solutions of driven polar cavity flow at high reynolds numbers

E Erturk - Int. J. Mech. Eng. Technol, 2018 - researchgate.net
Benchmark numerical solutions of 2-D steady incompressible flow in a driven polar cavity at
high Reynolds numbers are presented. The Navier-Stokes equations in streamfunction and …

Evaluation of Different Discretization Schemes for Non-Orthogonal Grids and Highly Skewed Flow

RM Abumandour, AS Dawood, IM Eldesoky… - ERJ. Engineering …, 2023 - journals.ekb.eg
The current paper presents comparisons between four different discretization schemes for
non-orthogonal grids in the skewed cavity and highly skewed flow in the curved cavity …

[HTML][HTML] Development of a Parallel 3D Navier–Stokes Solver for Sediment Transport Calculations in Channels

G Kirkil - Computation, 2020 - mdpi.com
We propose a method to parallelize a 3D incompressible Navier–Stokes solver that uses a
fully implicit fractional-step method to simulate sediment transport in prismatic channels. The …