2016-04-012024-05-16https://scholars.lib.ntu.edu.tw/handle/123456789/668000摘要：本研究計畫目的是要發展多域型(multi-domain type)全球數值天氣計算模式，以做為未來可能採用之高效率數值天氣模式的動力核(dynamic core)。 計畫方法是將球面定義域分割成多個相連而不重疊之曲邊四邊形(a union of non-conform quadrilatron grid mesh)，在各子域四邊形中進行波方程計算而穩定連接各子域間的數值解。我們的目標模型有二：一為純量波方程於球面的計算模式(scalar advection equation on spherical surfaces)；二為球面上淺水波方程式的計算模式(shallow water wave equations on spherical surfaces)。因為擬譜法(pseudo-spectral methods)有保持低數值色散誤差(numerical dispersion error)的特性和多域計算(multi-domain computational framework)適合現代化平行運算架構，我們希望和期待這樣的計算模式能有效地進行球面上長時間積分氣象波動或流體現象的模擬計算。 <br> Abstract: The purpose of this research is to build multi-domain type numerical weather computational models for future global weather models. The proposed method is based on discretizing the spherical surface into a union of curvilinear quadrilateral elements and computing complicated wave phenomena on each subdomain and consistently and stably patching local solutions between subdomains by employing the pseudo-spectral penalty method. The target models are two: the scalar advection equation model on the spherical surface, and the shallow water wave equations on the spherical surface. Because the pseudo-spectral method is very efficient in preserving low numerical dispersion error and the multi-domain computational approach is suitable for modern parallel computational architectures, we hope and expect that the proposed model can be efficient for wave simulations for long time integrations and possibly be used as a realistic weather prediction model in the future.擬譜補償法淺水波方程pseudospectral penalty methodsShallow water equations