Advection Test: Moving Vortex on the Sphere
The test combines a solid-body rotation and a deformational flow field to form moving vortices over the surface of the sphere. The resulting time-dependent deforming vortex centers are located on diametrically opposite sides of the sphere and move along a predetermined great circle trajectory. The horizontal wind field is deformational and nondivergent, and the analytic solution is known at any time. During one revolution around the sphere the initially smooth transported scalar develops strong gradients. The results are simulated with the DG advection model. [pap1] [pap2]
Shallow Water Models on the Cubed-Sphere
This is the test-case 5 in Williamson (1992) SW test suite. This test is particularly useful for studying the effectiveness of the scheme in conserving integral invariants such as mass, total energy, and potential enstrophy. It consists of a zonal flow impinging on a conical mountain, and no analytic solution is known for this test. Simulated results show the height field of the zonal flow over an isolated mountain (SW test-case 5) up to day 15. [pap1] [pap2]
DG-NH model (2D) Straka Current Test
The Straka density current (Straka et al. (1993) mimics the cold outflow from a convective system and tests a model’s ability to control oscillations when run with numerical viscosity. This test involves evolution of a density flow generated by a cold bubble in a neutrally stratified atmosphere. The cold bubble descends to the ground and spreads out in the horizontal direction, forming three Kelvin–Helmholtz shear instability rotors along the cold front surface. This simulation is made with the 2D version of DG-NH model and details can be found in [pap1]
DG-NH model Inertia–Gravity Wave TEST Test
The nonhydrostatic inertia–gravity wave (IGW) test introduced by Skamarock and Klemp (1994) serves a useful tool to check the accuracy of various time stepping schemes in a more realistic nonhydrostatic setting. This test case obtains the grid-converged solution without the need of a numerical diffusion. We use this experiment to test the accuracy of the HEVI schemes for our DG-NH model under different aspect ratio of grid resolutions. This simulation is made with the 2D version of DG-NH model and details can be found in [pap1]
