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Discrete Hamilton's equations for viscous compressible fluid dynamics

✍ Scribed by E.P. Fahrenthold; J.C. Koo

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
769 KB
Volume
178
Category
Article
ISSN
0045-7825

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✦ Synopsis

LagrangeÕs and HamiltonÕs equations are used extensively in numerical modeling of rigid body dynamics and continuum solid dynamics problems. The use of energy methods in viscous compressible ¯ow problems has been by contrast rather limited, largely con®ned to the development of basic balance laws in partial dierential equation form. However, ®nite element interpolation of the modeled ¯ow ®eld allows for the direct application of the discrete form of HamiltonÕs equations to viscous compressible ¯uid dynamics in Eulerian frames. The resulting model is a true energy formulation, developed without reference to the partial dierential balance equations which underlie conventional ®nite dierence, weighted residual ®nite element, and ®nite volume methods.

📜 SIMILAR VOLUMES

HAMILTON'S PRINCIPLE FOR EXTERNAL VISCOU
HAMILTON'S PRINCIPLE FOR EXTERNAL VISCOUS FLUID–STRUCTURE INTERACTION
✍ H. BENAROYA; T. WEI 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 914 KB

Hamilton's principle is extended so as to be able to model external #ow}structure interaction. This is accomplished by using Reynold's Transport theorem. In this form, Hamilton's principle is hybrid in the sense that it has an analytical part as well as a part that depends on experimentally derived