Computational Modeling of the Kidney Hemodynamics With a Coupled Unsteady Stokes–Darcy Model
Sign Up to like & getrecommendations! Published in 2025 at "International Journal for Numerical Methods in Biomedical Engineering"
DOI: 10.1002/cnm.70108
Abstract: We consider the numerical simulation of blood flows in a patient‐specific kidney including the renal artery, the renal vein, and the kidney tissue using a coupled system of unsteady Stokes–Darcy equations. The Stokes equations and… read more here.
Keywords: computational modeling; method; hemodynamics; stokes darcy ... See more keywords
A Runge-Type Approximation Theorem for the 3D Unsteady Stokes System
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DOI: 10.1007/s00220-025-05364-9
Abstract: We investigate Runge-type approximation theorems for solutions to the 3D unsteady Stokes system. More precisely, we establish that on any compact set with connected complement, local smooth solutions to the 3D unsteady Stokes system can… read more here.
Keywords: type approximation; system; runge type; stokes system ... See more keywords
Start-up flow of nanoscale particles and their periodic arrays: insights from fundamental solutions of the unsteady Stokes equations.
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DOI: 10.1039/d4nr04045g
Abstract: Start-up flows induced by nanoscale particles and their periodic arrays are studied theoretically. At nanoscopic lengths and time scales, the interplay between inertial and viscous forces in a fluid results in time-dependent (unsteady) flows, which… read more here.
Keywords: fundamental solutions; time; periodic arrays; particles periodic ... See more keywords
The Resistance of an Arbitrary Body in Confined Unsteady Stokes Flow
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DOI: 10.3390/fluids9110260
Abstract: In this article, we address resistance forces and torques acting onto a body with arbitrary shape moving in an unsteady Stokes flow. We start analyzing the functional form of the expressions for forces and torques,… read more here.
Keywords: resistance; stokes flow; forces torques; geometry ... See more keywords