CAJ | 학술논문

边界元法作为一种重要的数值方法已在许多领域得到广泛应用，但在船舶水动力势流理论数值计算方面，有关直接边界元法的研究并不充分，尤其是在船舶兴波阻力势流理论求解方面，以往的“面元法”通常是基于Hess-Smith法的间接法，这类方法在理论和数值计算上都存在着缺陷。针对船舶水动力势流理论计算，采用直接边界元法，对二维势流无界绕流算例进行系统的数值计算，并根据二维势流问题的计算结果详细探讨边界单元离散形式和单元上的数值积分方法对计算精度的影响，各项数值计算均以Matlab软件编程实现。结果表明，采用常数单元和龙贝格积分法能够得到较准确的结果，且计算速度较快。
변계원법작위일충중요적수치방법이재허다영역득도엄범응용，단재선박수동력세류이론수치계산방면，유관직접변계원법적연구병불충분，우기시재선박흥파조력세류이론구해방면，이왕적“면원법”통상시기우Hess-Smith법적간접법，저류방법재이론화수치계산상도존재착결함。침대선박수동력세류이론계산，채용직접변계원법，대이유세류무계요류산례진행계통적수치계산，병근거이유세류문제적계산결과상세탐토변계단원리산형식화단원상적수치적분방법대계산정도적영향，각항수치계산균이Matlab연건편정실현。결과표명，채용상수단원화룡패격적분법능구득도교준학적결과，차계산속도교쾌。
The Boundary Element Method(BEM),as a key numerical method,has been widely applied in many fields. However,the research on the Direct Boundary Element Method(DBEM)for ship hydrody?namic numerical calculation problems is still insufficient,especially when it comes to the ship hydrody?namic potential flow theory. The general method-‘panel method’- is based on Hess-Smith method, which is an Indirect Boundary Element Method(IBEM)whose major flaws exist in both theory and numeri?cal calculation. This paper,based on the ship hydrodynamic potential flow theory,adopts DBEM to calcu?late the example of two-dimensional unbounded potential flow around a cylinder,and analyzes the influ?ence of the boundary element discrete forms and the numerical integral methods on the calculation accura?cy. The results carried out by Matlab clearly indicate that using the constant element and Romberg algo?rithm method could yield high calculation speed and accuracy.