An all-scale anelastic model for geophysical flows: dynamic grid deformation

摘要: We have developed an adaptive grid-refinement approach for simulating geophysical flows on scales from micro to planetary. Our model is nonoscillatory forward-in-time (NFT), nonhydrostatic, and anelastic. The major focus in this effort date has been the design of a generalized mathematical framework implementation deformable coordinates its efficient numerical coding generic Eulerian/semi-Lagrangian NFT format. key prerequisite grid time-dependent coordinate transformation, implemented rigorously throughout governing equations model. transformation enables mesh refinement indirectly via dynamic change metric coefficients, while retaining advantages Cartesian calculations (speed, low memory requirements, accuracy) conducted fully computational domain. Diverse test results presented paper - simulations traveling stratospheric inertio-gravity-wave packet (with numerically advected dense-mesh region) idealized climate Earth analytically prescribed transformations) demonstrate potential efficacy new tracing targeted flow features dynamically adjusting undulations boundaries.