Li Shan

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In this report, a partitioned time stepping algorithm for transient flow in a porous medium coupled to a free flow in embedded conduits is analyzed. The coupled flow is modeled by the fully evolutionary Stokes-Darcy problem. This method requires only solve one, uncoupled Stokes and Darcy sub-physics and sub-domain per time step. On the interface between the(More)
Common, complex, and burdensome to individuals and society alike, neck pain is estimated to affect more than 70% of the population at some point in life and between 12-34% of the population at a given time, with one study finding that 45.5% of office workers experienced neck pain in a 12-month period [1]. We plan to build a system that would give real time(More)
SQL injection is an attack technique used to exploit code by altering back-end SQL statements through manipulating input. This paper proposes a novel methodology of preventing SQL injection attacks by building a protective adaptive shell. The protective shell is located between the application and the back-end database and has three layers to block illegal(More)
Keywords: Navier–Stokes equations Stabilized finite element Local Gauss integration Error estimate a b s t r a c t In this article, we consider a fully discrete stabilized finite element method based on two local Gauss integrations for the two-dimensional time-dependent Navier–Stokes equations. It focuses on the lowest equal-order velocity–pressure pairs.(More)
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