利用FCT方法压制弹性波数值模拟中的数值频散

SUPPRESSING NUMERICAL DISPERSION IN FINITE DIFFERENCE MODELING BASED ON ACOUSTIC AND ELASTIC EQUATION USING FCT SCHEME

在基于波动方程的有限差分数值模拟中,会不可避免地出现数值频散(也称网格发散)问题。数值频散问题通常会给数值模拟的结果造成严重影响,因此在数值模拟中,应尽量设法消除这种现象。这里在前人的基础上,在基于各向同性介质的弹性波方程的数值模拟过程中,通过引入通量校正方法来解决数值频散问题。由数值模拟结果表明,该方法可以有效地消除数值频散现象,大大改善数值模拟的结果。

Numerical dispersion inevitably exists in numerical simulation based wave equation,which is also called grid dispersion and usually affect the result of numerical simulation badly,therefore,in the process of numerical simulation,the problem must be managed to solved.On the basis of the research result the other people have achieved,the paper uses the fluxcorrection transformation scheme to eliminate numerical dispersion existing in numerical simulation based on elastic wave equation in isotropic media.The result of numerical simulation shows that the scheme can eliminate the numerical dispersion effectively and improve the quality of numerical simulation greatly.