New least squares method with geometric conservation law (GC-LSM) for compressible flow computation in meshless method

•A meshless method that overcomes the intrinsic non-conservative feature is proposed.•The geometric conservation law and first-order consistency are satisfied.•This method can accurately and robustly solve compressible flows with a strong shock.•This method does not lose accuracy even in randomly di...

Full description

Saved in:
Bibliographic Details
Published in:Computers & fluids 2018-08, Vol.172, p.122-146
Main Authors: Huh, Jin Young, Rhee, Jae Sang, Kim, Kyu Hong, Jung, Suk Young
Format: Article
Language:English
Subjects:
AUSMPW
Compressible flow
Conservation
Finite element method
Finite volume method
Fluid dynamics
GC-LSM
Geometric conservation law
Geometry
Hypersonic flow
Lagrange multiplier
Least squares method
Mathematical analysis
Meshless method
Meshless methods
MUSCL limiters
MUSCL schemes
Nozzle flow
Nozzles
Sine waves
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:•A meshless method that overcomes the intrinsic non-conservative feature is proposed.•The geometric conservation law and first-order consistency are satisfied.•This method can accurately and robustly solve compressible flows with a strong shock.•This method does not lose accuracy even in randomly distributed points. In this study, we propose a meshless scheme, GC-LSM (Geometric Conservation Least Squares Method), satisfying the geometric conservation and 1st order consistency. These constraints are introduced in order to overcome the non-conservativeness of the original meshless scheme and imposed by Lagrange multiplier on the least squares method which determines weighting coefficients of the derivative terms. Improvements on the meshless scheme are confirmed through computations with randomly distributed grid points for a sine wave, nozzle flow, and hypersonic flow around blunt body. Combined with AUSMPW + and MUSCL scheme, GC-LSM of the second order accuracy gives non-oscillating solution around a strong shockwave, even for hypersonic flow, and shows its capability comparable to the finite volume method in views of accuracy, robustness, and convergence.
ISSN:0045-7930
1879-0747
DOI:10.1016/j.compfluid.2018.06.010