List of Tables

•  GLL implies Gauss Lobatto Legendre which is the Gauss quadrature for a constant weight function with both $x=\pm 1$ points endpoints included. $GRJ_{\alpha,\beta}$ implies Gauss Radau Jacobi quadrature with $(\alpha,\beta)$ weights and the endpoint x=-1 included.
• Timings for the Schur complement obtained on a single node SGI R8000.
• Simulation parameters for the Kovasznay flow.
• Simulation parameters for the incompressible cylinder flow simulation.
• Variation of Strouhal frequency with Reynolds number for incompressible flow past a two-dimensional cylinder
• Variation of Cd with Reynolds number for incompressible flow past a two-dimensional cylinder
• Simulation parameters for the Rayleigh problem.
• Simulation parameters for the micro-pump simulation.
• Volumetric flow rate per unit width W as a function of Reynolds number for closed-position piston-wall gap of g=0.025 L. The value for $\nu \simeq 1 \times 10^{-5}$ for both air and water are used. The mass flow rate is $\dot{\overline{M}}=\rho \dot{\overline{Q}}$
• Parameters for the equations of incompressible MHD.
• Simulation parameters for the incompressible MHD Pearson's vortex simulation.
• Simulation parameters for the incompressible MHD Orszag-Tang vortex simulation.
• Simulation parameters for incompressible MHD flow past a cylinder.
• Simulation parameters for compressible flow past a cylinder.
• Comparison of Strouhal frequency of incompressible against compressible (Mach=0.5) flow past a cylinder.
• Comparison of Strouhal frequency, drag and lift coefficients from hybrid with results from other methods. Re=100, M=0.7
• Simulation parameters for compressible flow past a NACA0012.
• Simulation parameters for compressible flow past a multibody airfoil.
• Simulation parameters for compressible flow past a NACA0012 airfoil with endplates.
• Variables and parameters used in the equations of compressible MHD.
• Simulation parameters for the compressible Orszag-Tang Vortex.
• Simulation parameters for compressible flow past a cylinder with a magnetic field.