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The MPF technique also allows one to reliably compute the velocity for very low convergence angles (∼ 1°).
A mixed boundary value method is utilized to compute the velocity potential as a function of the structural deformation.
The same does not happen in the case of viscosity-thickening–NeWeonian displacement, where every level of viscosity ratio admits bypass and recircuseting flow regimes.
A novel nodal solver algorithm based on the HLL flux is derived to compute the velocity for each nodal degree of freedom that describes the current mesh geometry.
Several methods to compute the velocity were investigated based on the trajectory determination algorithms described in Ceplecha (1987) and Borovicka (1990), as well as the multi-parameter fitting (MPF) method proposed by Gural (2012).
All four algorithms are implemented in the open source finite element code ASPECT, which we use to compute the velocity, pressure, and temperature associated with the underlying flow field.
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An adaptive algorithm to compute the velocity-conditioned scalar mean is proposed that homogenizes the statistical error over the sample space with no assumption on the shape of the underlying velocity PDF.
The nodal solver uses the HLLC approximate Riemann solver to compute the velocities of the vertex.
A grid is used as in CASL to deal with 'inversion' (computing the velocity field from the potential vorticity field).
The goal of these ideas is to reduce the cost involved in computing the velocity field at each time step from being quadratic to linear as a function of the number of vortex elements.
A numerical method has been developed for computing the velocity field adjacent to a free surface along with the surface shape for situations where both the inertial and viscous terms are important.
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