Pol Grasland-Mongrain edited Simulation_study.tex  over 8 years ago

Commit id: 63d535449ca4fa7932fe9d06a8d4a019b88fd932

deletions | additions      

       

Body Lorentz force $\mathbf{f}$ was computed from the cross-product of $\mathbf{j}$ and $\mathbf{B}$. As the electrical current is induced in the XY plane and the magnetic field essentially along X direction, Lorentz force is mainly along Z direction. Z component of the Lorentz force is illustrated in Figure \ref{Figure3}-C, with arrows indicating the Lorentz force vector and color its amplitude along Z.  Finally, displacement $\mathbf{u}(\mathbf{r},t)$ was determined analytically along space (pixels of 2x2 mm$^2$) and time (steps of 1 ms) by solving Equation \ref{Equation3} with the Green operator \cite{aki1980quantitative}. It used a medium density $\rho$ of 1000 kg.m$^{-3}$, a bulk modulus $K$ of 2.3 GPa and a shear modulus $\mu$ of 16 kPa, corresponding to a shear wave speed of 4 m.s$^{-1}$.