Cristina La Cognata
Department of Mathematics, Linköping University

A New High Order Energy and Enstrophy Conserving Arakawa-like Jacobian Differential Operator


Mimetic schemes are widely used in long-time computations of geophysical flows for overcoming the issue of numerical instability. The proficiency of this techniques lies in the appropriate treatment of the non-linear terms in the governing equations by maintaining analytical properties in the discrete setting. A high order mimetic expression for the celebrated Arakawas Jacobian for the two-dimensional incompressible vorticity equation is developed.  Mimetic properties such as skew-symmetry, energy and enstrophy conservation for the semi-discretization are proved using summation-by-parts operators. Numerical simulations corroborate the theoretical findings.

Time and place
Thursday 7 April 2016, 14.15
Room C609, Arrhenius Laboratory, 6th floor