Mamdouh Mohamed

Postdoctoral Fellow

Research Interests

  • We develop novel numerical methods to simulate the fluid flows over surfaces. The developed methods are based on Discrete Exterior Calculus (DEC), which is an alternate language to express the tensor differential operators; e.g. gradient, curl, divergence, .. etc. The application of the DEC operators helps the discretization to preserve the key physical quantities that their preservation is implied in the continuous governing equations. Examples for these preserved physical quantities for the incompressible Navier-Stokes flows are the mass, the vorticity and the kinetic energy.
  • We develop conservative discretizations of the incompressible Navier Stokes equations on surface simplicial meshes using Discrete Exterior Calculus (DEC). The memitic behavior of the DEC operators enables the discretization to preserve the flow key physical quantities; e.g. the mass, the vorticity and the kinetic energy. We also explore novel physical phenomena of the flows over curved surfaces using the developed discretization.

Selected Publications

  • M. Mohamed, B. C. Larson, and A. El-Azab, "Statistics of internal fields in deformed fcc crystals. I. Elastic distortions and dislocation density tensor," to be submitted to the Mechanics of Material journal.
  • M. Mohamed, A. El-Azab and B. C. Larson, "Elastic Distortions of Dislocations in Deforming FCC Crystals," MRS Proceedings, 1363 , mrss11-1363-rr03-04 doi:10.1557/opl.2011.1428, (2011). Materials Research Society Symposium Proceedings, v1363, p 1-6, 2011, Fundamental Science of Defects and Microstructure in Advanced Materials for Energy.
  • M. Mohamed, J. Deng, and A. El-Azab, "Dislocation Statistics in FCC Crystals," in:139th Annual TMS Meeting and Exhibition - Supplemental Proceedings (TMS 2010), Editors: Mo Li, David Srolovitz, Adrian Sutton, Vaclav Paidar, Jeff De Hosson, v 2 (2010), 61-68.​
  • M.S. Mohamed , E. A. El-Danaf , A. A. El-Enany, and A. A. Radwan, "Mechanical Properties and Microstructure of AA 1050," Processed by ECAP Correlated to the Strain Tensor, Journal of Engineering and Applied Science, v 55, n 2 (2008),125-144​


  • 2012: Ph.D. in Computational Science, Florida State University, USA​
  • 2007: M.Sc. in Mechanical Engineering, Cairo University, Egypt
  • 2003: B.Sc. in Mechanical Engineering, Cairo University, Egypt

Professional Profile

  • ​​Jan 2013 - current:     Post-doctoral fellow, Physical Science and Engineering Division, KAUST, KSA.
  • Aug 2007 - Dec 2012: Graduate Research Assistant, Department of Scientific Computing, Florida State University, USA.
  • Sep 2003 - Aug 2007: Teaching and Research Assistant, Mechanical Engineering Department, Cairo University, Egypt.

KAUST Affiliations

​​Physical Science and Engineering Division