Von Mises’ nonlinear second-order wave equation for the velocity potential in the case of anirrotational, compressible and barotropic classical perfect fluid is connected to the analog gravityformalism. It is shown that while the standard acoustic metric, built on a certain background, remainscentral in the higher-order perturbative scheme, at full nonlinear level it plays a less relevant role. Possibleapplications both for simulations and experiments are discussed.
Von Mises’ potential flow wave equation and nonlinear analog gravity
CHERUBINI C;FILIPPI S
2011-01-01
Abstract
Von Mises’ nonlinear second-order wave equation for the velocity potential in the case of anirrotational, compressible and barotropic classical perfect fluid is connected to the analog gravityformalism. It is shown that while the standard acoustic metric, built on a certain background, remainscentral in the higher-order perturbative scheme, at full nonlinear level it plays a less relevant role. Possibleapplications both for simulations and experiments are discussed.File in questo prodotto:
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