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Ramy Rashad

My personal website showcasing my research works putting energy and geometry back in robotics!

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Dual-field discretization of Navier-Stokes equations: Scalar-valued exterior calculus
Computational Physics

Dual-field discretization of Navier-Stokes equations: Scalar-valued exterior calculus

Posted on: March 21, 2024March 26, 2024

Research Overview In this ongoing research, we work on the structure-preserving discretization of the incompressible Navier-Stokes (NS) equations [math] \partial_t v + \omega\times v + \frac{1}{\text{Re}} \text{curl}(\omega)+ \text{grad}(p) […]

pHyem library
Computational Physics

pHyem library

Posted on: January 22, 2024January 22, 2024

phyem is an open-source finite element library that bridges port-based thinking to numerics and enables LEGO-like simulations. The name, pHyem, stands for Python + Port-Hamiltonian + FEM + Physics. The project’s […]

Dual-field Finite Element Exterior Calculus
Computational Physics

Dual-field Finite Element Exterior Calculus

Posted on: September 16, 2022August 11, 2023

Research Overview In this work we propose a novel approach to discretize linear port-Hamiltonian systems while preserving the underlying structure. We present a finite element exterior calculus formulation […]

FEM of von Karman Beams
Computational Physics

FEM of von Karman Beams

Posted on: November 19, 2021August 11, 2023

Research Overview In this contribution, the von Karman beam model is formulated as a port-Hamiltonian system. The selection of energy variables will be such to make the Hamiltonian […]

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