【摘要】 非定常流动问题计算中常用到含三个时间层的二阶精度时间后差隐式格式,并且希望构成TVD格式,然而理论上的问题多年一直没有解决。本文找到了解决办法,构造了这种类型的隐式TVD格式,证明了其为TVD的充分条件。理论结果为计算所验证,并表明通常未采取本文对时间差分处理方法的格式尚不具备TVD性质。更多还原

【Abstract】 The implicit scheme of second order accurate backward time difference utilizing three time levels is often employed in computing unsteady flows. Moreover it is desired to construct such type scheme as TVD scheme. However the problem has not been resolved in theory for a long time. The present author find out an approach of resolution, construct a new implicit TVD scheme of this type, and prove the sufficient condition for it to be TVD scheme. Computation experiments verify the theoretical results and show that the traditional scheme without treating time difference as ours does not posses TVD property.更多还原