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Dynamische Meteorologie: Eine Spektrale Werkstatt
Paperback
ISBN13: 9783662505281
Publisher: Springer Nature
Published: Aug 3 2016
Pages: 328
Weight: 1.06
Height: 0.71 Width: 6.14 Depth: 9.21
Language: German
Wie Frank Schmidt in diesem Lehrbuch zeigt, ist Meteorologie noch mehr als ein Handwerk! Angesichts der gro en Familie nationaler und grö erräumiger Vorhersagemodelle mit Modulen und Parametern, offen für aktuelle Messungen, und angesichts des technologischen Fortschritts mit Radar- und Satellitenbeobachtung könnte man das fast vergessen haben.
Tatsächlich zeigt die Dynamik, das Herz der Modelle, bei sensiblen Abschätzungen und Feinabstimmungen solcher Modelle erstaunlich variierende Ergebnisse. Es existiert eine Vielfalt zu überdenkender Zusammenhänge und auszulotender Grenzen, und das selbst schon im Grundlegenden und Linearen. Das wird durch nichts so anschaulich dargestellt wie durch spektrale Methoden.
Zunächst werden grundlegende dynamische Gleichungen quasi axiomatisch gegeben und dann für verschiedene Grö enordnungen der Bewegung dynamische Äquivalenzklassen definiert, die meteorologischen Modelle.
Kugelflächenfunktionen werden elementar als Polynome der sphärischen Polarkoordinaten eingeführt und die globalen dynamischen Operationen als Rekursionen dieser Polynome identifiziert. Damit wird die sphärische Symmetrie per definitionem respektiert, insbesondere auch eingebettet in den Torus oder mit regional erhöhter Auflösung. Angefangen bei diesen globalen Symmetrien gilt es auch zu arbeiten mit der vertikalen Struktur, mit Eigenschwingungen bei variierenden Modellen, Schichtungen, Randstrukturen und Anregungen. Bei Überlappung von Rossby- und Schwerewellen treten Instabilitäten auf. Adaptationen von Frequenzen ergeben sich auflösungsabhängig. Barokline Instabilität erscheint von der synoptischen Skala bis in kleinste Skalen fortgesetzt, soweit das Modell trägt.
Kaum bewusst gewordene Instabilitäten und unerwünschte Dämpfungen finden sich bei etablierten Zeititerationen, Defizite für Lorenz'sche Klimaprognosen. Bekannte statistische Verfahren der Analyse entpuppen sich als Strukturen von aufregend vielfach überlagerten Mannigfaltigkeiten. Höchste Effizienz der Prognose wird elementar realisiert.
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