{"title":"基于五点插值法的特性MOC方法的瞬态流动分析","authors":"J. Twyman","doi":"10.4067/s0718-28132018000200062","DOIUrl":null,"url":null,"abstract":"espanolSe muestra una version original del Metodo de las Caracteristicas (MC) de 2do orden que trabaja con un esquema de interpolacion de cinco puntos, valido para resolver las ecuaciones diferenciales parciales hiperbolicas y cuasi-lineales que describen el fenomeno del flujo transiente en redes de tuberias. Se comparan los resultados obtenidos por el MC 2do orden y la solucion exacta (MC 1er orden). Se demuestra que el MC 2do orden permite obtener resultados cercanos a los exactos dentro de una amplia gama de numeros de Courant. EnglishAn original 2nd-order Method of Characteristics (MOC) which it works with a five-point interpolating scheme valid for solving the hyperbolic and quasilinear partial differential equations that describe the transient flow phenomenon in pipelines is shown. The results obtained by both MOC 2nd-order and exact solution (MOC 1st-order) are compared. It is shown that MOC 2nd-order allows obtain near-to-exact results within a wide range of Courant numbers.","PeriodicalId":391731,"journal":{"name":"Obras y proyectos","volume":"39 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Transient flow analysis using the method of characteristics MOC with five-point interpolation scheme\",\"authors\":\"J. Twyman\",\"doi\":\"10.4067/s0718-28132018000200062\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"espanolSe muestra una version original del Metodo de las Caracteristicas (MC) de 2do orden que trabaja con un esquema de interpolacion de cinco puntos, valido para resolver las ecuaciones diferenciales parciales hiperbolicas y cuasi-lineales que describen el fenomeno del flujo transiente en redes de tuberias. Se comparan los resultados obtenidos por el MC 2do orden y la solucion exacta (MC 1er orden). Se demuestra que el MC 2do orden permite obtener resultados cercanos a los exactos dentro de una amplia gama de numeros de Courant. EnglishAn original 2nd-order Method of Characteristics (MOC) which it works with a five-point interpolating scheme valid for solving the hyperbolic and quasilinear partial differential equations that describe the transient flow phenomenon in pipelines is shown. The results obtained by both MOC 2nd-order and exact solution (MOC 1st-order) are compared. It is shown that MOC 2nd-order allows obtain near-to-exact results within a wide range of Courant numbers.\",\"PeriodicalId\":391731,\"journal\":{\"name\":\"Obras y proyectos\",\"volume\":\"39 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Obras y proyectos\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4067/s0718-28132018000200062\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Obras y proyectos","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4067/s0718-28132018000200062","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 7
摘要
本文提出了一种二阶特征法(MC)的原始版本,该方法采用五点插值格式,适用于求解描述管道网络瞬态流动现象的双曲和准线性偏微分方程。将二阶MC与精确解(一阶MC)的结果进行了比较。结果表明,二阶MC可以在大范围的电流数范围内获得接近精确的结果。原始EnglishAn 2nd-order Method of分离器(MOC) which it works with a five-point interpolating方案valid for solving the hyperbolic and quasilinear partial的叙述equations that the transient flow phenomenon in pipelines is日内瓦。比较MOC第二阶和精确解(MOC第一阶)得到的结果。这表明,在广泛的实际数字范围内,MOC二级允许获得接近准确的结果。
Transient flow analysis using the method of characteristics MOC with five-point interpolation scheme
espanolSe muestra una version original del Metodo de las Caracteristicas (MC) de 2do orden que trabaja con un esquema de interpolacion de cinco puntos, valido para resolver las ecuaciones diferenciales parciales hiperbolicas y cuasi-lineales que describen el fenomeno del flujo transiente en redes de tuberias. Se comparan los resultados obtenidos por el MC 2do orden y la solucion exacta (MC 1er orden). Se demuestra que el MC 2do orden permite obtener resultados cercanos a los exactos dentro de una amplia gama de numeros de Courant. EnglishAn original 2nd-order Method of Characteristics (MOC) which it works with a five-point interpolating scheme valid for solving the hyperbolic and quasilinear partial differential equations that describe the transient flow phenomenon in pipelines is shown. The results obtained by both MOC 2nd-order and exact solution (MOC 1st-order) are compared. It is shown that MOC 2nd-order allows obtain near-to-exact results within a wide range of Courant numbers.