A DYNAMIC NUMERICAL-METHOD FOR MODELS OF RENAL TUBULES

We show that an explicit method for solving hyperbolic partial differe ntial 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 sp ace and time, we employ the recently developed ENO (Essentially Non-Os cillatory) methodology. We present examples of computed flows and conc entration profiles in representative model contexts. Finally, we indic ate briefly how model tubules may be coupled to construct large-scale simulations of the renal counterflow system.