Mixed Discrete Least Squares Meshfree method for solving the incompressible Navier–Stokes equations

Gargari, S. Faraji; Kolahdoozan, Morteza; Afshar, Mohammad

doi:10.1016/j.enganabound.2017.12.018

Cited by 6 publications

(2 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Munikrishna and Balakrishnan [36] proposed the DLSM method to simulate the steady-state incompressible N-S equation and the time step could be large. Gargari et al [37] adopted a hybrid mesh-less Cartesian point arrangement method, and calculated the turbulent flow using the RANS turbulence model of the mesh-less solver LSFD-U. In response to the incompressible Navier-Stokes equation and ALE equation, Hong et al [38] put forward a mixed discrete least square mesh-less (MDLSM) method.…”

Section: Introductionmentioning

confidence: 99%

Application of Three-Dimensional Meshless Method in Muzzle Flow Field of Projectile with Large Displacement

Wang¹,

Xue²,

Cai³

et al. 2021

IJHT

View full text Add to dashboard Cite

The mesh-less method abandons the idea of traditional mesh method. In numerical calculation, it only needs the node information, and it's not necessary to connect nodes into mesh cells. Aiming at the problem of non-equilibrium chemical reaction flows in a threedimensional muzzle with moving boundaries, this paper proposed a three-dimensional least squares mesh-less (3D-LSM) algorithm, and the ALE (Arbitrary Lagrangian-Eulerian) form multi-component Euler governing equations were adopted for fluid dynamics modeling; then, a finite-rate reaction model was used to deal with the chemical reactions in the flow field, a time-division method was applied to solve the stiff problem of chemical reactions, and multi-component AUFS (artificially upstream flux vector splitting) format was introduced to calculate the convective flux term of the governing equation. In addition, the weighted-point filling strategy and the dynamic point cloud method were employed to deal with the topological structure changes in the point clouds caused by the large displacement movement of the projectile in the three-dimensional muzzle flow field. Finally, the proposed mesh-less method was applied to calculate the muzzle of a 12.7mm gun, and accurately captured the bottle-shaped shock wave structure in the complex muzzle flow field and the second muzzle flame phenomenon; the calculation results were compared with the experimental results and obtained a good match, which had proved the feasibility of the proposed 3D-LSM method. The research findings of this paper provided a new solution for the simulation of high-speed non-equilibrium reaction jets with multicomponent and large-displacement moving boundaries.

show abstract

Section: Introductionmentioning

confidence: 99%

Application of Three-Dimensional Meshless Method in Muzzle Flow Field of Projectile with Large Displacement

Wang¹,

Xue²,

Cai³

et al. 2021

IJHT

View full text Add to dashboard Cite

show abstract

“…Munikrishna and Balakrishnan [27] applied a hybrid meshless-Cartesian grid method to calculate turbulent flow using the RANS turbulence model coupled with the zero equation of the meshless solver LSFD-U. Gargari et al [28,29] proposed a mixed discrete least squares meshless (MDLSM) method for the incompressible Navier-Stokes equation and ALE equation, enjoying higher accuracy than the DLSM method.…”

Section: Introductionmentioning

confidence: 99%

Application of Least Squares Meshless Method in Multi-component High-Speed Non-equilibrium Reaction Jet

Wang¹,

Xue²,

Cai³

et al. 2020

IJDNE

View full text Add to dashboard Cite

This paper designs a novel least squares (LS) meshless method for the three-dimensional (3D) problem of multi-component high-speed non-equilibrium reaction jet. Specifically, the space derivative was solved by the LS method, and the artificially upstream flux vector splitting (AUFS) scheme was introduced to compute the convection term in the control equation. Considering the possibility of chemical reactions, the flow field parameters were updated by the finite-rate reaction model; the rigidity of chemical reactions was solved by the time splitting method. In addition, the 3D computational domain was discretized into simple weighted points with clear physical meanings. On this basis, the complex problems of the steady flow around the high-speed flying projectile with the angle of attack, and the 3D muzzle flow field with brake were calculated. The results prove that the proposed LS meshless method is a feasible way to capture the shock structure in complex flow fields. The proposed method provides a new solution to multi-component high-speed non-equilibrium reaction jets.

show abstract

A fully Lagrangian mixed discrete least squares meshfree method for simulating the free surface flow problems

Eini

Afshar

Gargari

et al. 2020

Engineering with Computers

View full text Add to dashboard Cite

Mixed Discrete Least Squares Meshfree method for solving the incompressible Navier–Stokes equations

Cited by 6 publications

References 29 publications

Application of Three-Dimensional Meshless Method in Muzzle Flow Field of Projectile with Large Displacement

Application of Three-Dimensional Meshless Method in Muzzle Flow Field of Projectile with Large Displacement

Application of Least Squares Meshless Method in Multi-component High-Speed Non-equilibrium Reaction Jet

A fully Lagrangian mixed discrete least squares meshfree method for simulating the free surface flow problems

Contact Info

Product

Resources

About