Abstract #1227

3D-Simulation of Flowing Spins using the Lattice Boltzmann Method with Maxwell Diffuse Reflection Boundaries

Ansgar Adler¹, Philip Schaten², Yong Wang³, and Martin Uecker⁴

¹Insitut of Medical Engineering Graz, Graz, Austria, ²Institut Diagnostic and Interventional Radiologie, Göttingen, Germany, ³Max Planck Institute for Dynamics and Self-Organization, Göttingen, Germany, ⁴Institut of Medical Engineering, Graz, Austria

Synopsis

The lattice Boltzmann method (LBM) is a powerful technique to simulate complex fluid dynamical systems. The extension of the LBM to flow with a spin degree of freedom in external magnetic fields has shown promising results in 2D. Here, we describe first 3D numerical results utilizing extended kinetic-theory based boundary conditions. The simulation of a laminar pipe flow is verified on the Pouiseuille flow and shown to be able to predict signal changes caused by in-flow effects as expected from previous flow experiments.

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