Implicit free-Lagrange method for computing two-dimensional magnetogas-dynamic flows
type: Item
instance of: scholarly article
title: Implicit free-Lagrange method for computing two-dimensional magnetogas-dynamic flows
zbMATH Open document ID: 0923.76148
DOI: 10.1007/BF01128941
published in: Computational Mathematics and Modeling
publication date: 1998-08-25T00:00:00Z
review text: This paper examines the IFLA (Implicit Free-LAgrange) method developed by the authors for computing two-dimensional nonstationary MGD flows. This is a method of the third category based on an implicit completely conservative operator-difference MGD scheme on an irregular triangular Lagrangian grid of variable structure. The grid structure must be changed because a Lagrangian grid associated with a moving medium may be distorted in the process of computation. The appearance of triangular cells that strongly deviate from a regular triangle disrupts the approximation of differential operators by their grid analogs and ultimately leads to a breakdown of the grid. Automatic grid adjustment in computing time, which involves arbitrary changes of grid structure preserving the triangularity property, makes it possible to maintain a nearly perfect grid (consisting of regular triangles). Grid-structure adjustment in the IFLA method is possible also because the difference operators are written on an arbitrary irregular triangular grid.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76W05
zbMATH DE Number: 1188588
author: N. V. Ardelyan
author: K. V. Kosmachevskii
MaRDI profile type: Publication
cites work: Q4528992
cites work: The free-Lagrange method. Proceedings of the First International Conference on Free-Lagrange Methods, Held at Hilton Head Island, South Carolina, March 4-6, 1985
cites work: Q3321749
cites work: On the convergence of iterations for systems of two linear operator equations
full work available at URL: https://doi.org/10.1007/bf01128941
OpenAlex ID: W2057645706
description: scientific article; zbMATH DE number 1188588