MLS-SPH-ALE: A review of meshless-FV methods and a unifying formulation for particle discretizations

A Eirís, L Ramírez, I Couceiro… - … Methods in Engineering, 2023 - Springer
Mesh-based and particle methods were conceived as two different discretization strategies
to solve partial differential equations. In the last two decades computational methods have …

[HTML][HTML] An arbitrary Lagrangian-Eulerian SPH-MLS method for the computation of compressible viscous flows

L Ramírez, A Eirís, I Couceiro, J París… - Journal of Computational …, 2022 - Elsevier
In this work we present a high-accurate discretization to solve the compressible Navier-
Stokes equations using an Arbitrary Lagrangian-Eulerian meshless method (SPH-MLS) …

[PDF][PDF] Review of Collocation Methods and Applications in Solving Science and Engineering Problems.

W Jiang, X Gao - CMES-Computer Modeling in Engineering & …, 2024 - cdn.techscience.cn
The collocation method is a widely used numerical method for science and engineering
problems governed by partial differential equations. This paper provides a comprehensive …

GPU computing of compressible flow problems by a meshless method with space-filling curves

ZH Ma, H Wang, SH Pu - Journal of Computational Physics, 2014 - Elsevier
A graphic processing unit (GPU) implementation of a meshless method for solving
compressible flow problems is presented in this paper. Least-square fit is used to discretize …

[HTML][HTML] A meshless solution of the compressible viscous flow in axisymmetric tubes with varying cross-sections

KB Rana, B Mavrič, R Zahoor, B Šarler - Engineering analysis with …, 2022 - Elsevier
Abstract The meshless Diffuse Approximate Method (DAM) is for the first time formulated and
applied to simulate the compressible Newtonian flow of an ideal gas in an axisymmetric tube …

A very accurate Arbitrary Lagrangian–Eulerian meshless method for Computational Aeroacoustics

L Ramírez, X Nogueira, S Khelladi, A Krimi… - Computer Methods in …, 2018 - Elsevier
In this work, we propose a new meshless approach based on a Galerkin discretization of a
set of conservation equations on an Arbitrary Lagrangian–Eulerian framework. In particular …

A MUSCL-SCNI approach for meshfree modeling of shock waves in fluids

TH Huang, JS Chen, H Wei, MJ Roth… - Computational Particle …, 2020 - Springer
A stable and nodally integrated meshfree formulation for modeling shock waves in fluids is
developed. The reproducing kernel approximation is employed to discretize the …

A parallel meshless dynamic cloud method on graphic processing units for unsteady compressible flows past moving boundaries

ZH Ma, H Wang, SH Pu - Computer Methods in Applied Mechanics and …, 2015 - Elsevier
This paper presents an effort to implement a recently proposed meshless dynamic cloud
method (Hong Wang et al., 2010) on modern high-performance graphic processing units …

Numerische Algorithmen für gitterfreie Methoden zur Lösung von Transportproblemen

T Seifarth - 2018 - publica.fraunhofer.de
Gitterfreie Berechnungsmethoden kommen aufgrund ihrer Flexibilität in erster Linie bei
Problemstellungen mit zeitabhängigen komplexen Geometrien zum Einsatz, da sich dort die …

A meshless finite point method for three‐dimensional analysis of compressible flow problems involving moving boundaries and adaptivity

E Ortega, E Oñate, S Idelsohn… - International Journal for …, 2013 - Wiley Online Library
SUMMARY A finite point method for solving compressible flow problems involving moving
boundaries and adaptivity is presented. The numerical methodology is based on an upwind …