The vector potential in the numerical solution of three-dimensional fluid dynamics problems in multiply connected regions
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Cited by (17)
Computing turbulence structure tensors in plane channel flow
2016, Computers and FluidsCitation Excerpt :A prerequisite for computing the tensors is thus the ability to compute the vector potential. While the three-dimensional vector potential has been used in several algorithms involving fluid flow [4–10], and descriptions of how to compute them for general domains exist [11–14], the computation of the turbulence structure tensors has, until recently, been limited to simple geometries [2]. Recently, however, a general framework for the computation of the turbulence structure tensors has been proposed [15].
A novel vector potential formulation of 3D Navier-Stokes equations with through-flow boundaries by a local meshless method
2015, Journal of Computational PhysicsCitation Excerpt :Nevertheless, these artificial techniques are not sufficient in improving its weak pressure–velocity coupling. Some pressure-free formulations, or vorticity-based formulations such as vorticity-velocity [5,6], vorticity-vector potential [7–13], vorticity and scalar-vector potential [14,15], and vector potential [16] were proposed to reduce the effect of weak pressure–velocity coupling. By taking the curl of the momentum equation of the Navier–Stokes equations, the pressure variable is eliminated resulting in the vorticity transport equation.
A numerical method for the study of nonlinear stability of axisymmetric flows based on the vector potential
2008, Journal of Computational PhysicsA spectral algorithm for the Stokes problem in vorticity-vector potential formulation and cylindrical geometry
1994, Computer Methods in Applied Mechanics and EngineeringOn the use of vorticity-vector-potential with a spectral tau method in rotating annular domains
1994, Finite Elements in Analysis and DesignA discrete vector potential model for unsteady incompressible viscous flows
1991, Journal of Computational Physics