Formulation of Euler Fluid
نویسنده
چکیده
The Hamiltonian formalism for the continuous media is constructed using the representation of Euler variables in C 2 × ∞ phase space.
منابع مشابه
A Size-dependent Bernoulli-Euler Beam Formulation based on a New Model of Couple Stress Theory
In this paper, a size-dependent formulation for the Bernoulli-Euler beam is developed based on a new model of couple stress theory presented by Hadjesfandiari and Dargush. The constitutive equation obtained in this new model, consists of only one length scale parameter that is capable of capturing the micro-structural size effect in predicting the mechanical behavior of the structure. Having on...
متن کاملStability Results and Algorithmic Strategies for the Finite Element Approach to the Immersed Boundary Method
The immersed boundary method is both a mathematical formulation and a numerical method for the study of fluid structure interactions. Many numerical schemes have been introduced to reduce the difficulties related to the non-linear coupling between the structure and the fluid evolution; however numerical instabilities arise when explicit or semi-implicit methods are considered. In this work we p...
متن کاملA Note on Asymptotic Helix and Quantum Mechanical Structure
Using the formulation of a moving curve, we demonstrate that an asymptotic helix goes over to the linear time-dependent Schrödinger equation as shown by Dmitriyev (2002). 1. Introduction. Here we consider unbounded, inviscid, and incompressible fluid flows. In the absence of external force, the motion of such fluid with unit density is described by the Euler equations
متن کاملNew complex variables for equations of ideal barotropic fluid
We propose new construction of dependent variables for equations of an ideal barotropic fluid. This construction is based on a direct generalization of the known connection between Schroedinger equation and a system of Euler-type equations. The system for two complexvalued functions is derived that is equivalent to Euler equations. Possible advantages of the proposed formulation are discussed.
متن کاملRelativistic Lagrange Formulation
It is well-known that the equations for a simple fluid can be cast into what is called their Lagrange formulation. We introduce a notion of a generalized Lagrange formulation, which is applicable to a wide variety of systems of partial differential equations. These include numerous systems of physical interest, in particular, those for various material media in general relativity. There is prov...
متن کامل