{"title":"Description of a Method for Solving Simplified Thermodeformation Equations Using the Compact Polynomial Method Scheme","authors":"V. V. Kuzenov, S. V. Ryzhkov","doi":"10.1134/S0015462825603663","DOIUrl":null,"url":null,"abstract":"<p>The numerical method for solving elliptic differential equations (on unstructured computational grids), based on a nonlinear compact polynomial computational scheme and a method for approximate transition from elliptic-type equations to a system of hyperbolic equations is described. Some examples of initial testing of the proposed computational method are given.</p>","PeriodicalId":560,"journal":{"name":"Fluid Dynamics","volume":"60 8","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2026-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fluid Dynamics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S0015462825603663","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
The numerical method for solving elliptic differential equations (on unstructured computational grids), based on a nonlinear compact polynomial computational scheme and a method for approximate transition from elliptic-type equations to a system of hyperbolic equations is described. Some examples of initial testing of the proposed computational method are given.
期刊介绍:
Fluid Dynamics is an international peer reviewed journal that publishes theoretical, computational, and experimental research on aeromechanics, hydrodynamics, plasma dynamics, underground hydrodynamics, and biomechanics of continuous media. Special attention is given to new trends developing at the leading edge of science, such as theory and application of multi-phase flows, chemically reactive flows, liquid and gas flows in electromagnetic fields, new hydrodynamical methods of increasing oil output, new approaches to the description of turbulent flows, etc.