%0 Journal Article %T ON THE ENERGY CONSERVATION PROPERTIES OF THE FINITE DIFFERENCE SCHEMES IN NON-CONSERVATIVE FORM
关于非守恒形式差分格式的能量守恒问题 %A 李德元 %J 计算数学 %D 1981 %I %X The energy conservation properties of the finite difference schemes applied. to thetwo-dimensional nonsteady fluid dynamic equations are studied. Several finite differ-ence schemes which preserve the conservation of energy in Lagrangian coordinatesystem for the energy equation in non-conservative form are constructed. It is shownthat the interpolation formulae of pressure on the boundary of a cell are correspond-ing to the approximate evaluations of the kinetic energy in a cell. %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=0E0AD0FF03892DED98A547F3A2A14B67&yid=AA64127AB7DEB65D&vid=38B194292C032A66&iid=0B39A22176CE99FB&sid=28F8B56DB6BEE30E&eid=E22B6B8FE86DD8F9&journal_id=0254-7791&journal_name=计算数学&referenced_num=2&reference_num=0