Computational blood flow modeling: A multiscale constitutive framework

This study presents and discusses a multiscale constitutive framework for 1D blood flow modeling. By analyzing the proposed model’s asymptotic limits, it is demonstrated that different blood propagation phenomena can be described by selecting scaling parameters appropriately, which are connected to various characterizations of the fluid-structure interaction mechanism that exists between vessel walls and blood flow. The resulting multiscale hyperbolic model is solved using a third-order asymptotic-preserving Implicit-Explicit Runge-Kutta Finite Volume method.