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二维浅水明流的一种二阶高性能算法 被引量:4
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作者 谭维炎 胡四一 《水科学进展》 EI CAS CSCD 1992年第2期89-95,共7页
为了精确求解二维浅水方程组,在由任意三角形构成的无结构网格上建立了有限体积MUSCL算法,这是文献〔1〕中有限体积一阶Osher格式的一类二阶推广。通过采用预测校正二步时间积分和单元内引入坡度限制,该算法在时空上均可达到二阶精度.... 为了精确求解二维浅水方程组,在由任意三角形构成的无结构网格上建立了有限体积MUSCL算法,这是文献〔1〕中有限体积一阶Osher格式的一类二阶推广。通过采用预测校正二步时间积分和单元内引入坡度限制,该算法在时空上均可达到二阶精度.跨单元边界的法向数值通量采用通量向量分裂公式(FVS)计算。最后,通过长江口南支潮流计算和一维瞬时溃坝模型算例来说明该格式的优良性能及在浅水流动计算中的应用。 展开更多
关键词 浅水方程组 明流 二阶数值解
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Two finite difference schemes for the phase field crystal equation 被引量:5
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作者 CAO HaiYan SUN ZhiZhong 《Science China Mathematics》 SCIE CSCD 2015年第11期2435-2454,共20页
The phase field crystal(PFC) model is a nonlinear evolutionary equation that is of sixth order in space.In the first part of this work,we derive a three level linearized difference scheme,which is then proved to be en... The phase field crystal(PFC) model is a nonlinear evolutionary equation that is of sixth order in space.In the first part of this work,we derive a three level linearized difference scheme,which is then proved to be energy stable,uniquely solvable and second order convergent in L_2 norm by the energy method combining with the inductive method.In the second part of the work,we analyze the unique solvability and convergence of a two level nonlinear difference scheme,which was developed by Zhang et al.in 2013.Some numerical results with comparisons are provided. 展开更多
关键词 phase field crystal model nonlinear evolutionary equation finite difference scheme SOLVABILITY CONVERGENCE
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