%0 Journal Article %1 citeulike:7663716 %A Weller, H. G. %A Tabor, G. %A Jasak, H. %A Fureby, C. %D 1998 %I AIP %J Computers in Physics %K c, openfoam 76m12-finite-volume-methods-in-fluid-mechanics 68p05-data-structures 68n19-other-programming-paradigms %N 6 %P 620--631 %R 10.1063/1.168744 %T A Tensorial Approach to Computational Continuum Mechanics using Object-Oriented Techniques %U http://dx.doi.org/10.1063/1.168744 %V 12 %X In this article the principles of the field operation and manipulation (FOAM) C++ class library for continuum mechanics are outlined. Our intention is to make it as easy as possible to develop reliable and efficient computational continuum-mechanics codes: this is achieved by making the top-level syntax of the code as close as possible to conventional mathematical notation for tensors and partial differential equations. Object-orientation techniques enable the creation of data types that closely mimic those of continuum mechanics, and the operator overloading possible in C++ allows normal mathematical symbols to be used for the basic operations. As an example, the implementation of various types of turbulence modeling in a FOAM computational-fluid-dynamics code is discussed, and calculations performed on a standard test case, that of flow around a square prism, are presented. To demonstrate the flexibility of the FOAM library, codes for solving structures and magnetohydrodynamics are also presented with appropriate test case results given.

@article{citeulike:7663716, abstract = {{In this article the principles of the field operation and manipulation (FOAM) C++ class library for continuum mechanics are outlined. Our intention is to make it as easy as possible to develop reliable and efficient computational continuum-mechanics codes: this is achieved by making the top-level syntax of the code as close as possible to conventional mathematical notation for tensors and partial differential equations. Object-orientation techniques enable the creation of data types that closely mimic those of continuum mechanics, and the operator overloading possible in C++ allows normal mathematical symbols to be used for the basic operations. As an example, the implementation of various types of turbulence modeling in a FOAM computational-fluid-dynamics code is discussed, and calculations performed on a standard test case, that of flow around a square prism, are presented. To demonstrate the flexibility of the FOAM library, codes for solving structures and magnetohydrodynamics are also presented with appropriate test case results given.}}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Weller, H. G. and Tabor, G. and Jasak, H. and Fureby, C.}, biburl = {https://www.bibsonomy.org/bibtex/2cc8865d001352e09de8e5ee2c40101a5/gdmcbain}, citeulike-article-id = {7663716}, citeulike-attachment-1 = {weller_98_tensorial.pdf; /pdf/user/gdmcbain/article/7663716/655186/weller_98_tensorial.pdf; b75768ea79096244631a7e65bbda869f529daed3}, citeulike-linkout-0 = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal\&id=CPHYE2000012000006000620000001\&idtype=cvips\&gifs=yes}, citeulike-linkout-1 = {http://link.aip.org/link/?CIP/12/620}, citeulike-linkout-2 = {http://dx.doi.org/10.1063/1.168744}, doi = {10.1063/1.168744}, file = {weller_98_tensorial.pdf}, interhash = {df2941e591bfe6a3e8b228287cbd4125}, intrahash = {cc8865d001352e09de8e5ee2c40101a5}, journal = {Computers in Physics}, keywords = {c, openfoam 76m12-finite-volume-methods-in-fluid-mechanics 68p05-data-structures 68n19-other-programming-paradigms}, number = 6, pages = {620--631}, posted-at = {2011-05-23 06:42:40}, priority = {2}, publisher = {AIP}, timestamp = {2023-10-05T05:49:18.000+0200}, title = {{A Tensorial Approach to Computational Continuum Mechanics using Object-Oriented Techniques}}, url = {http://dx.doi.org/10.1063/1.168744}, volume = 12, year = 1998 }