To achieve highly accurate calculation by using interpolation function in which a coefficient is determined by using proper information in downwind information in addition to upwind information, in a numerical calculation method used for computing partial differential equation.
In the numerical calculation method, the interpolation function of the partial differential equation is a third-order polynomial, and a virtual point is set in the vicinity downstream of a reference point. A value of a variable at the virtual point is used for a restraint condition, to determine the coefficient of the interpolation function. Thus, the degree of the interpolation function is increased as well as non-physical numerical oscillation is reduced with respect to a high wave number, thereby enabling stable and highly accurate calculation.
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Naoyuki Onodera
Kenta Sugihara
JP2008197949A | ||||
JP2004239784A |
奈良 昌則,高次エルミート補間を用いたIDO法と移流拡散方程式による精度検証,電子情報通信学会論文誌,日本,社団法人電子情報通信学会,2002年 6月 1日,J85-A 第6号,p.661-667
Etsuo Tada