75 citations · 87 across the 4 of their papers we have counts for
4 papers
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…
Numerical Convergence of Discrete Exterior Calculus on Arbitrary Surface Meshes
Mamdouh S. Mohamed, Anil N. Hirani, Ravi Samtaney
Discrete exterior calculus (DEC) is a structure-preserving numerical framework for partial differential equations solution, particularly suitable for simplicial meshes. A longstand…
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…