Journal Publications
11) D. Zeidan, R. Touma, and A. Slaouti, Application of Thermodynamically Compatible TwoPhase Flow Model to the HighResolution Simulations of Compressible GasMagma Flow, International Journal for Numerical Methods in Fluids, DOI: 10.1002/fld.3936, 2014.
10) Implementation of Velocity and Pressure NonEquilibrium in GasLiquid TwoPhase Flow Computations, submitted to International Journal of Fluid Mechanics Research, 2013.
9) Convergence of the 2D central schemes on unstructured triangular grids, submitted to App. Num. Math. 2013
8) D. Zeidan and R. Touma, On the computations of gassolid mixture twophase flow,Advances in Applied Mathematics and Mechanics, 6, 1, 2014, Pages 4974 7) R. Touma and G. Jannoun, Nonoscillatory central schemes on unstructured grids for twodimensional hyperbolic conservation laws App Num Math, 62, 8, 2012, Pages 941955.
6) R. Touma and S.Khankan, Wellbalanced unstaggered central schemes for one and twodimensional shallow water equation systems, App. Math. Comp., 218, Issue 10, 15 January 2012, Pages 59485960
5) R. Touma, Unstaggered central schemes with constrained transport treatment for ideal and shallow water magnetohydrodynamics. App. Num. Math., V. 60, Issue 7, 2010, Pages 752766.
4) R. Touma and P. Arminjon, Central finite volume methods for ideal and shallow water magnetohydrodynamics, Int. J. Num. Meth. fluid dynamics, Volume 67, Issue 2, 20 September 2011, 155174.
3) R. Touma, Central unstaggered finite volume schemes for hyperbolic systems: Applications to unsteady shallow water equations. App. Math. Comp., V. 213, Issue 1, 2009, Pages 4759.
2) R. Touma, P. Arminjon, Central finite volume schemes with constrained transport divergence treatment for threedimensional ideal MHD. J. Comp. Phys., V. 212, Issue 2, 2006, Pages 617636.
1) P. Arminjon, R. Touma, Central finite volume methods with constrained transport divergence treatment for ideal MHD. J Comp. Phys., V. 204, Issue 2, 2005, Pages 737759.
Conference Proceedings
14) D. Zeidan, R. Touma, and A. Slaouti, Using gassolid mixture conservation laws for volcanic eruptions, AIP Conference Proceedings 1558, 180; doi: 10.1063/1.4825450, 2013.
13) D. Zeidan and R. Touma, HighOrder Velocity NonEquilibrium Simulations of GasLiquid Flows using Godunov Methods, Proc 6th International Conference on Advanced Computational Engineering and Experimenting, ACEX 2012, Istanbul, Turkey, July, 2012.
12) D. Zeidan and R. Touma, Simulation of GasLiquid TwoPhase Flow Based on the Riemann Problem, Proc. 2nd International Conference on Fundamental and Applied Sciences (ICFAS2012), Kuala Lumpur, Malaysia June 2012
11) R.Touma and S.Khankan, Wellbalanced central schemes for the saintVenant systems, Proc. of the 9th International Conference of Numerical Analysis and Applied Mathematics, Halkidiki, Greece, AIP Conference Proceedings 1389 , pp. 16641667, September 2011.
10) R. Touma and G.Jannoun, Central schemes on unstructured grids, Proc. of the 8th Int. Conf. of Num. Anal. and App. Math. ICNAAM 2010, Rhodes, Greece, September 2010.
9) R.Touma, Unstaggered central schemes for hyperbolic systems, Proc. of the 7th Int. Conf. of Num. Anal. and App. Math. ICNAAM 2009, Crete, Greece, September 2009.
8) R. Touma, Central Unstaggered Finite Volume Schemes for Hyperbolic Systems: Applications to Unsteady Shallow Water Equations, Proc. of the 12th Int. Conf. on "Hyperbolic Problems: Theory, Numerics and Applications" (HYP2008), Maryland, USA, June 2008.
7) R.Touma, Central Unstaggered Finite Volume Schemes for Shallow Water Equations, Proc. of the 5th Int. Conf. of Num. Anal. and App. Math. ICNAAM 2007, Corfu, Greece, September 2007.
6) P. Arminjon and R. Touma, Central Schemes for Ideal Magnetohydrodynamics, Proc. 6th Int.l Cong. on. Indust. and App. Math. ICIAM 2007, Zurich Switzerland, July 2007.
5) P. Arminjon and R. Touma, Finite Volume Central Schemes for 3dimensional Ideal MHD, Proc. of the 11th Int. Conf. on "Hyperbolic Problems: Theory, Numerics and Applications" (HYP2006), Lyon, France, July 2006.
4) R. Touma and P.Arminjon, A CTCS divergence treatment for ideal MHD, Proc. Tenth Int. Conf.on Hyp.
Prob. Theo., Num., Appl. HYP2004, Osaka, September 2004.
3) P. Arminjon and R.Touma, Central Finite Volume Methods for One and TwoDimensional
Ideal Magnetohydrodynamics, Proc. Comp. Fluid Dynamics, CFD2004, May 2004.
2) P. Arminjon and R. Touma, A Central, DiamondStaggered Dual Cell, Finite Volume
Method For Ideal Magnetohydrodynamics, Proc. Int. Conf. Comp.
Fluid Dynamics, ICCFD2004, Toronto, July 2004.
1) P. Arminjon and R. Touma, Central Finite Volume Methods for One and TwoDimensional Ideal Magnetohydrodynamics, Proc. Comp. Fluid Dynamics, CFD2004, May 2004.
Most recent update: April 2012.
