71th Annual Meeting of the APS Division of Fluid Dynamics (November 18, 2018 — November 20, 2018)

V0029: A biphasic computational model for simulations of blood-perfused tissue

Authors

• Yi Jui Chang, Mechanical & Aerospace Engineering, Univ of California - Los Angeles
• Daniel Canuto , Mechanical & Aerospace Engineering, Univ of California - Los Angeles
• Kwitae Chong , Mechanical & Aerospace Engineering, Univ of California - Los Angeles
• Jeff D. Eldredge , Mechanical & Aerospace Engineering, Univ of California - Los Angeles
• Joseph M. Teran , Mathematics, Univ of California - Los Angeles
• Peyman Benharash , Surgery, Univ of California - Los Angeles
• Erik Dutson , Surgery, Univ of California - Los Angeles

DOI: https://doi.org/10.1103/APS.DFD.2018.GFM.V0029

The current study focuses on the biphasic soft tissue and aims to simulating its material and hemo-dynamic response. The blood-perfused tissue is considered as a dynamic poro-hyperelastic material with blood-filled voids. A biphasic formulation—effectively, a generalization of Darcy’s law---is utilized, treating the phases are occupying fractions of the same volume and existing momentum exchange between them. The conservation equations is discretized by the method of Smoothed Particle Hydrodynamics. Inflow conditions are obtained from a systemic cardiovascular model with regulatory response, automatically adapting to hemorrhage and other disturbances. Simulations of the mechanics under baseline conditions have been demonstrated here.