{"title":"Use of double nodes in the numerical simulation of multilayered flows of immiscible fluids","authors":"E. Mitsoulis","doi":"10.1002/CNM.1630030112","DOIUrl":"https://doi.org/10.1002/CNM.1630030112","url":null,"abstract":"The use of double nodes in side-by-side flows of immiscible fluids is introduced. The double nodes are required to satisfy the interface boundary conditions of continous velocities and stresses. The implementation of the technique in finite element simulations of two viscous immiscible fluids is illustrated through a typical example of co-extrusion.","PeriodicalId":136398,"journal":{"name":"Communications in Applied Numerical Methods","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114445639","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Notes on numerical fluid mechanics volume 13, D. Rues and W. Kordulla (eds). Vieweg. Price £31.00. ISBN 0 52 808087 6","authors":"J. Rae","doi":"10.1002/CNM.1630030114","DOIUrl":"https://doi.org/10.1002/CNM.1630030114","url":null,"abstract":"","PeriodicalId":136398,"journal":{"name":"Communications in Applied Numerical Methods","volume":"345 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116456391","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Numerical treatment of boundary conditions at points connecting more than two electrically distinct regions","authors":"K. Paulsen, D. Lynch, J. Strohbehn","doi":"10.1002/CNM.1630030110","DOIUrl":"https://doi.org/10.1002/CNM.1630030110","url":null,"abstract":"Points of intersection of three or more lossy dielectric regions (i.e. tissues) often occur in anatomical cross-sections of the human body obtained with CT-scans. The boundary conditions for the electric and magnetic fields require special attention at these points, in contrast to points of connectin of only two tissues, thus posing a problems for numerical methods involved with calculating the electromagnetic fields in tissue. In this paper, a simple theoretical analysis, which exposes the dominant analytic behaviour near such points, is followed. The derived analytic behaviour is numerically enforced via a special basis function which is compatible with the finite element method. Results are shown which indicate that the special basis preserves the analytic behaviour while maintaining grid resolution that is typical of the overall mesh.","PeriodicalId":136398,"journal":{"name":"Communications in Applied Numerical Methods","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134329684","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A network method for nonlinear transient eddy current problems","authors":"C. C. Wong","doi":"10.1002/CNM.1630030108","DOIUrl":"https://doi.org/10.1002/CNM.1630030108","url":null,"abstract":"Maxwell's curl equations for a conducting region are simulated by the impedance network. A set of simultaneous first-order ordinary differential equations is developed for the network which can be used to solve linear or nonlinear, transient or static eddy current problems. The resulting set of equations is solved by the explicit fourth order Runge–Kutta method and in some cases by an implicit method based on the central difference scheme for time discretization. A number of examples, including eddy current losses in a saturated steel plate, are described to illustrate the applications of the method. It is found that the explicit method is more suitable for nonlinear problems, whereas the implicit method is more efficient for linear problems.","PeriodicalId":136398,"journal":{"name":"Communications in Applied Numerical Methods","volume":"50 22","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132389792","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}