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math.NA2021
A new two-dimensional blood flow model with arbitrary cross sections
Cesar Alberto Rosales-Alcantar, Gerardo Hernandez-Duenas
A new two-dimensional model for blood flows in arteries with arbitrary cross sections is derived. The model consists of a system of balance laws for conservation of mass and balanc…
math.NA2021
A Central-Upwind Scheme for Two-layer Shallow-water Flows with Friction and Entrainment along Channels
Gerardo Hernandez-Duenas, Jorge Balbas
We present a new high-resolution, non-oscillatory semi-discrete central-upwind scheme for one-dimensional two-layer shallow-water flows with friction and entrainment along channels…