不可压缩粘性流动问题的一般曲线坐标网格对流差分格式

JSME international journal. Series 2, Fluids engineering, heat transfer, power, combustion, thermophysical properties Pub Date : 1992-11-15 DOI:10.1299/JSMEB1988.35.4_559

Y. Matsumoto, H. Daiguji

{"title":"不可压缩粘性流动问题的一般曲线坐标网格对流差分格式","authors":"Y. Matsumoto, H. Daiguji","doi":"10.1299/JSMEB1988.35.4_559","DOIUrl":null,"url":null,"abstract":"A numerical scheme analysing two-dimensional incompressible viscous flow using a general curvilinear co-ordinate grid is proposed. In this scheme, the unsteady Navier-Stokes equations are solved by a convective-difference scheme using a staggered square grid in transformed space and an interpolation formula considering TVD concept, and an elliptic equation of pressure is solved by the iteration scheme. The continuity condition in the scheme is identically satisfied, and the spurious errors are completely removed, in a manner similar to the MAC scheme. As numerical examples the square cavity, U-type duct and backward-facing step duct flows were calculated. The calculated results show that the scheme has a good accuracy as a second-order scheme and is stable for high Reynolds numbers flow.","PeriodicalId":421113,"journal":{"name":"JSME international journal. Series 2, Fluids engineering, heat transfer, power, combustion, thermophysical properties","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Convective-Difference Scheme Using a General Curvilinear Coordinate Grid for Incompressible Viscous Flow Problems\",\"authors\":\"Y. Matsumoto, H. Daiguji\",\"doi\":\"10.1299/JSMEB1988.35.4_559\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A numerical scheme analysing two-dimensional incompressible viscous flow using a general curvilinear co-ordinate grid is proposed. In this scheme, the unsteady Navier-Stokes equations are solved by a convective-difference scheme using a staggered square grid in transformed space and an interpolation formula considering TVD concept, and an elliptic equation of pressure is solved by the iteration scheme. The continuity condition in the scheme is identically satisfied, and the spurious errors are completely removed, in a manner similar to the MAC scheme. As numerical examples the square cavity, U-type duct and backward-facing step duct flows were calculated. The calculated results show that the scheme has a good accuracy as a second-order scheme and is stable for high Reynolds numbers flow.\",\"PeriodicalId\":421113,\"journal\":{\"name\":\"JSME international journal. Series 2, Fluids engineering, heat transfer, power, combustion, thermophysical properties\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1992-11-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"JSME international journal. Series 2, Fluids engineering, heat transfer, power, combustion, thermophysical properties\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1299/JSMEB1988.35.4_559\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"JSME international journal. Series 2, Fluids engineering, heat transfer, power, combustion, thermophysical properties","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1299/JSMEB1988.35.4_559","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 1

摘要

提出了一种用一般曲线坐标网格分析二维不可压缩粘性流动的数值格式。该格式采用变换空间中交错方形网格的对流差分格式和考虑TVD概念的插值公式求解非定常Navier-Stokes方程，采用迭代格式求解椭圆型压力方程。该方案完全满足连续性条件，完全消除了伪误差，与MAC方案相似。以方形空腔、u型风管和后阶风管为例进行了流动计算。计算结果表明，该格式作为二阶格式具有较好的精度，对于高雷诺数流动具有较好的稳定性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Convective-Difference Scheme Using a General Curvilinear Coordinate Grid for Incompressible Viscous Flow Problems

A numerical scheme analysing two-dimensional incompressible viscous flow using a general curvilinear co-ordinate grid is proposed. In this scheme, the unsteady Navier-Stokes equations are solved by a convective-difference scheme using a staggered square grid in transformed space and an interpolation formula considering TVD concept, and an elliptic equation of pressure is solved by the iteration scheme. The continuity condition in the scheme is identically satisfied, and the spurious errors are completely removed, in a manner similar to the MAC scheme. As numerical examples the square cavity, U-type duct and backward-facing step duct flows were calculated. The calculated results show that the scheme has a good accuracy as a second-order scheme and is stable for high Reynolds numbers flow.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

JSME international journal. Series 2, Fluids engineering, heat transfer, power, combustion, thermophysical properties

自引率

0.00%

发文量