A DYNAMIC NUMERICAL-METHOD FOR MODELS OF RENAL TUBULES
A DYNAMIC NUMERICAL-METHOD FOR MODELS OF RENAL TUBULES
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DOI：
10.1016/s0092-8240(05)80288-5
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发表时间：
1994-05-01
影响因子：
3.5
通讯作者：
PITMAN, EB
中科院分区：
文献类型：
--
作者：
LAYTON, HE;PITMAN, EB
我们表明，一个明确的方法求解双曲型偏微分方程可以应用到模型的肾小管，以获得动态和稳态的解决方案。该方法的适当实施消除了管内流动方向反转所引起的数值不稳定性。为了获得二阶收敛的空间和时间，我们采用最近开发的ENO（本质上非振荡）的方法。我们提出的例子计算流量和浓度分布在代表性的模型背景下。最后，我们简要地指出模型肾小管可以耦合到构建大规模的模拟肾脏逆流系统。
We show that an explicit method for solving hyperbolic partial differential equations can be applied to a model of a renal tubule to obtain both dynamic and steady-state solutions. Appropriate implementation of this method eliminates numerical instability arising from reversal of intratubular flow direction. To obtain second-order convergence in space and time, we employ the recently developed ENO (Essentially Non-Oscillatory) methodology. We present examples of computed flows and concentration profiles in representative model contexts. Finally, we indicate briefly how model tubules may be coupled to construct large-scale simulations of the renal counterflow system.