비점성 대류 방정식의 계산을 위한 Hermitian 요소의 사용에 대한 고찰 = A use of Hermitian Elements for the Computation of Inviscid Convection Equations

다국어 초록 (Multilingual Abstract)

The use of Hermite cubic element, as a possible shock capturing finite element computation, has been investigated. The shock capturing technique is indispensable for the computing of supersonic flow field. The present paper reveals some results for the hermite cubic element for both linear and nonlinear scalar one and two dimensional cases. In one dimensional case, the numerical results by the hermite cubic element shows somewhat better than those by the linear element, and particularly the steady state result by the hermite cubic element shows a high resolution-like one. This seems to be in the superiority of hermite cubic element in the space differencing. In two dimensional case, the results by the hermite cubic element seem to possess a boundary instability, and this may be overcome through the use of higher order time differencing method.