75 citations · 87 across the 4 of their papers we have counts for
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A Primitive Variable Discrete Exterior Calculus Discretization of Incompressible Navier-Stokes Equations over Surface Simplicial Meshes
Pankaj Jagad, Abdullah Abukhwejah, Mamdouh Mohamed +1
A conservative primitive variable discrete exterior calculus (DEC) discretization of the Navier-Stokes equations is performed. An existing DEC method (Mohamed, M. S., Hirani, A. N.…
Flow Past a Circular Cylinder on Curved Surfaces
Pankaj Jagad, Mamdouh S. Mohamed, Ravi Samtaney
We investigate the dynamics of flows past a stationary circular cylinder embedded on spherical and cylindrical surfaces at a fixed Reynolds number of 100. For flows on surfaces, it…
Discrete exterior calculus discretization of incompressible Navier-Stokes equations over surface simplicial meshes
Mamdouh S. Mohamed, Anil N. Hirani, Ravi Samtaney
A conservative discretization of incompressible Navier-Stokes equations is developed based on discrete exterior calculus (DEC). A distinguishing feature of our method is the use of…