A dynamic numerical method for models of renal tubules

✍ Scribed by H.E. Layton; E. Bruce Pitman

• Publisher: Springer
• Year: 1994
• Tongue: English
• Weight: 1015 KB
• Volume: 56
• Category: Article
• ISSN: 1522-9602
• DOI: 10.1016/s0092-8240(05)80288-5

✦ Synopsis

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.