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J. Ocean Eng. Technol. 1993;7(1):99-106.    

The Use of Hermite Cubic Element for Inviscid Convective Equations
비점성 대류 방정식의 계산을 위한 Hermite 3차 요소의 사용에 대한
김진환
동의대학교 기계설계공학과
© 1993 The Korean Society of Ocean Engineers     Open access / Under a Creative Commons License
Keywords: Finite Element, Computational Fluid Dynamics, Artificial Viscosity, Shock Wave, total Variation Diminishing Method
핵심용어: 유한요소, 전산 유체역학, 인위적 점성, 충격파, 총변위 감소법
Abstract
The use of Hermite cubic element, as a possible finite element computation of transport equations containing shocks, has been invesigated. In the present paper the hermite cubic elements are applied to both linear and nonlinear scalar one and two dimensional equations. In the one dimensional problems, numerical results by the hermite cubic element show better than those by the linear element, and the steady state solution by the hermite cubic element yields result with good resolution. This fact proves the superiority of the hermite cubic element in space differencing. In two dimensional case, the results by the hermite cubic element shows a boundary instability, and the use of higher order time differencing method may be necessary for fixing the problem.
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