Open positions Opportunities M.Sc. and Ph.D. students We always want to hear from potential students wanting to pursue a Ph.D. If you want to work with us, please, read all the relevant parts of the admission page and send me an email at matteo.parsani@kaust.edu.sa. Thank you. Postdoctoral fellows We are interested in postdocs. We are opportunistic and will try to accommodate outstanding candidates. If you are close to completing a Ph.D. or already have one, you should know how to establish communication with a scientific colleague. Thank you.
Collaborators Research Academic Collaborators At the Advanced Algorithms and Simulation Laboratory (AANSLab), we research, implement, and demonstrate the capabilities of novel computational tools that can be used for computational fluid dynamics, aerodynamics, and hydrodynamics analysis and design. We have active collaborations with academic institutions, national laboratories, and industrial partners. Collaborator Institution Prof. Magnus Svard Prof. Hua Shen Dr. David Del Rey Fernandez Prof. Alberto Guardone National Laboratories Collaborator Institution Dr. David Del Rey Fernandez Dr. Mark H. Carpenter
Research Research The research in the Advance Algorithms and Numerical Simulation (AANS laboratory focuses on the stability and efficiency of spatial and temporal discretizations and mimetic & structure-preserving techniques which allow to transfer the results from the continuous level to the discrete one. We design and analyze of numerical schemes that approximate the solution to hyperbolic PDEs, e.g., shallow water, compressible Euler, or ideal magnetohydrodynamic (MHD) as well as mixed hyperbolic-parabolic PDEs, e.g, compressible Navier-Stokes. In particular, in our laboratory we develop hp-adaptive high
Teaching Teaching Finite difference methods for differential equations, AMCS 252: The course covers theory and algorithms for the numerical solution of ordinary differential equations (ODEs) and of partial differential equations (PDEs) of parabolic, hyperbolic, and elliptic type. Theoretical concepts include: accuracy zero-stability absolute stability convergence order of accuracy stiffness conservation CFL condition Algorithms covered include: finite differences steady and unsteady discretization in one and two dimensions Newton methods Runge-Kutta methods linear multistep methods multigrid implicit methods
Advanced Algorithm and Numerical Simulations Laboratory Research Group Front Page Professor Matteo Parsani leads the AANSLab research group, which stands for Advanced Algorithm and Numerical Simulations Laboratory Research group areas of expertise and current scientific interests: scientific computing, numerical stability, multi-scale simulations Our research focus is scientific computing. Scientific Computing is nowadays the “third pillar of science”, standing right next to theoretical analysis and experiments for scientific discovery. With a special design, a particular flavor of collocation DG scheme is created with discrete differentiation operators that satisfy the
