2 citations · 3 across the 6 of their papers we have counts for
6 papers
Homothetic Hodgede Rham Theory and a Geometric Regularization of Elliptic Boundary Value Problems
Fereidoun Sabetghadam
We introduce a homothetic extension of classical Weyl integrable geometry by generalizing the usual linear gauge transformations to affine homothetic transformations centered at a…
A Homothetic Gauge Theory and the Regularization of the Point Charge
Fereidoun Sabetghadam
We introduce a Homothetic Hodge de Rham (HHDR) theory that extends the de Rham complex and Hodge decomposition to homothetically dressed differential forms. The dressing, governed…
Dark Fields do Exist in Weyl Geometry
Fereidoun Sabetghadam
A generalized Weyl integrable geometry (GWIG) is obtained from simultaneous affine transformations of the tangent and cotangent bundles of a (pseudo)-Riemannian manifold. In compar…
An Analytical Framework for Imposition of a Rigid Immersed Surface on the Incompressible Navier--Stokes Equations
Fereidoun Sabetghadam
The incompressible Navier-Stokes equations are re-formulated to involve an arbitrary time dilation; and in this manner, the modified Navier-Stokes equations are obtained which have…
Construction of Solenoidal Immersed Velocity Vectors Using the Kinematic Velocity--Vorticity Relation
Fereidoun Sabetghadam, Shervin Sharafatmandjoor, Mehdi Badri
The present paper suggests a method for obtaining incompressible solenoidal velocity vectors that satisfy approximately the desired immersed velocity boundary conditions. The metho…
An Immersed Boundary Fourier Pseudo-spectral Method for Simulation of Confined Two-dimensional Incompressible Flows
Fereidoun Sabetghadam, Mehdi Badri, Shervin Sharafatmandjoor +1
The present paper is devoted to implementation of the immersed boundary technique into the Fourier pseudo-spectral solution of the vorticity-velocity formulation of the two-dimensi…