Review on the local weak form-based meshless method (MLPG): Developments and Applications in Ocean Engineering

被引:20
作者
Sriram, V [1 ]
Ma, Q. W. [2 ]
机构
[1] IIT Madras, Dept Ocean Engn, Chennai 600036, Tamil Nadu, India
[2] City Univ London, Sch Engn & Math Sci, London, England
关键词
MLPG_R; Local weak form; violent wave breaking; wave-elastic structure interactions; floating body; variable spaced approach; meshfree method; particle method; wave-structure interactions; SMOOTHED PARTICLE HYDRODYNAMICS; FINITE-ELEMENT-METHOD; RANKINE SOURCE SOLUTION; FULLY NONLINEAR-INTERACTION; INCOMPRESSIBLE SPH METHOD; OF-THE-ART; NUMERICAL-SIMULATION; BOUNDARY-CONDITIONS; WAVE INTERACTION; WATER-WAVE;
D O I
10.1016/j.apor.2021.102883
中图分类号
P75 [海洋工程];
学科分类号
0814 ; 081505 ; 0824 ; 082401 ;
摘要
This paper reviews the developments and applications of meshfree method based on MLPG (Meshless Local Petrov Galerkin) in ocean engineering, primarily from the work carried out at IIT Madras and City, University of London, UK. Apart from discussing the various stages in the model development, this paper will also reports its applications to small amplitude waves, wave overtopping and breaking, porous layers, long wave run-up, vegetation, floating bodies in waves, wave interaction with elastic structure and two phase flow modelling. Generally, the Navier - Stokes equation will lead to numerical dissipation for long distance propagations and increase in computational time. In order to avoid this, one needs to look for a physics based approach. One of the successfully implemented approaches in MLPG was by coupling with fully nonlinear potential flow theory (FNPT), either one-way or two-way. In this paper, we bring out the advantages and implementation issues of MLPG. The paper also discuss the relationship with ISPH/MPS methods and some concepts that are adopted in both formulations. The paper ends with the key challenges and future directions in the development of the numerical method.
引用
收藏
页数:30
相关论文
共 127 条
[1]  
Aduri SN, 2006, CMES-COMP MODEL ENG, V15, P1
[2]   Moving particle method for modeling wave interaction with porous structures [J].
Akbari, H. ;
Namin, M. Montazeri .
COASTAL ENGINEERING, 2013, 74 :59-73
[3]   Wave force on protected submarine pipelines over porous and impermeable beds using SPH numerical model [J].
Akbari, Hassan ;
Pooyarad, Ali .
APPLIED OCEAN RESEARCH, 2020, 98
[4]   Numerical study of wave interaction with a composite breakwater located on permeable bed [J].
Akbari, Hassan ;
Taherkhani, Amir .
COASTAL ENGINEERING, 2019, 146 :1-13
[5]   Hybridization of the Wave Propagation Model SWASH and the Meshfree Particle Method SPH for Real Coastal Applications [J].
Altomare, C. ;
Dominguez, J. M. ;
Crespo, A. J. C. ;
Suzuki, T. ;
Caceres, I. ;
Gomez-Gesteira, M. .
COASTAL ENGINEERING JOURNAL, 2015, 57 (04)
[6]  
Atluri SN, 2006, CMES-COMP MODEL ENG, V14, P141
[7]  
Atluri SN, 2004, CMES-COMP MODEL ENG, V6, P491
[8]  
Atluri SN, 2002, CMES-COMP MODEL ENG, V3, P11
[9]   A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics [J].
Atluri, SN ;
Zhu, T .
COMPUTATIONAL MECHANICS, 1998, 22 (02) :117-127
[10]   COUPLING OF SMOOTH PARTICLE HYDRODYNAMICS WITH THE FINITE-ELEMENT METHOD [J].
ATTAWAY, SW ;
HEINSTEIN, MW ;
SWEGLE, JW .
NUCLEAR ENGINEERING AND DESIGN, 1994, 150 (2-3) :199-205