{"product_id":"a-non-hydrostatic-semi-lagrangian-scheme-on-convective-dynamics-von-danny-hogsholt","title":"A non-hydrostatic semi-Lagrangian scheme on convective dynamics","description":"\u003cp\u003eA non-hydrostatic, semi-Lagrangian transport scheme is proposed. The scheme is able to solve the fully-compressible Euler equations with a minimum of filtering and approximations, allowing high-speed waves such as acoustic waves. Acoustic waves put severe limitations on the maximum time step that can be taken ensuring stability by not violating the Courant-Friedrich-Lewy criterion. Therefore, a time-split technique is incorporated such that the pressure type waves are treated with an Eulerian forward-backward method, and the advective part is treated with a semi- Lagrangian method. The scheme is able to reliably simulate convective thermals in both neutrally and stably stratified environments, including features as gravity wave oscillations and Kelvin-Helmholtz instability. A review of Eulerian and semi-Lagrangian methods is given along with a discussion of previous methods used in compressible models. Qualitative comparisons to earlier non-hydrostatic model studies are made.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783639798975\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783639798975","offer_id":39440276881501,"sku":"9783639798975","price":35.9,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/ee373ecf-2a39-4977-bc2e-b82e07f8b3c5.jpg?v=1773728147","url":"https:\/\/shop.autorenwelt.de\/products\/a-non-hydrostatic-semi-lagrangian-scheme-on-convective-dynamics-von-danny-hogsholt","provider":"Autorenwelt Shop","version":"1.0","type":"link"}