نتایج جستجو برای: orthogonal curvilinear coordinates

تعداد نتایج: 85795  

1957
Noam AGMON

Local normal-mode analysis for a collinear potential energy surface g?nrratss a system of curvilinear coordinaieh. which ;\re orthogonal in the mass-skewed system. The motion is locally separable in these coordinatrs. We compars the utility ai one of the normal modes as a transversal-vihralion coordinate. with the convcnrional choicr of the dire&on perpendicular w the reaction coordinate in the...

2001
Fengyan Shi Robert A. Dalrymple James T. Kirby Qin Chen Andrew Kennedy

Based on the fully nonlinear Boussinesq equations in Cartesian coordinates, the equations in generalized coordinates are derived to adapt computations to irregularly shaped shorelines, such as harbors, bays and tidal inlets, and to make computations more efficient in large near-shore regions. Contravariant components of velocity vectors are employed in the derivation instead of the normal compo...

1996
Richard B. Pember

We describe an adaptive higher-order Godunov method for the compressible Euler equations with an arbitrary convex equation of state in a three-dimensional system of orthogonal curvilin-ear coordinates. The single grid algorithm is a fractional-step method which uses a second-order Godunov method for gas dynamics in each fractional step. The single grid algorithm is coupled to a conservative loc...

1998
A. Gokhman D. Gokhman

We present a new algorithm for highly accurate computation of axisymmetric potential flow. The principal feature of the algorithm is the use of orthogonal curvilinear coordinates. These coordinates are used to write down the equations and to specify quadrilateral elements following the boundary. In particular, boundary conditions for the Stokes’ stream-function are satisfied exactly. The veloci...

2002
S. V. Khare S. Kodambaka D. D. Johnson I. Petrov J. E. Greene

We describe an analytical form of the Wulff plot construction procedure and derive a general expression for the surface energy from the three-dimensional equilibrium crystal shape in generalized orthogonal curvilinear coordinates. Particular expressions in Cartesian, spherical polar, and circular cylindrical coordinates are also presented. Corresponding results for a two-dimensional (2D) island...

Journal: :CoRR 2005
E. Erturk B. Dursun

The benchmark test case for non-orthogonal grid mesh, the “driven skewed cavity flow”, first introduced by Demirdžiü et al. [5] for skew angles of 30 D D and 45 D D , is reintroduced with a more variety of skew angles. The benchmark problem has non-orthogonal, skewed grid mesh with skew angle (D ). The governing 2-D steady incompressible NavierStokes equations in general curvilinear coordinates...

Journal: :The Journal of chemical physics 2014
R Lemus M Sánchez-Castellanos F Pérez-Bernal J M Fernández M Carvajal

The carbon dioxide Raman spectrum is simulated within an algebraic approach based on curvilinear coordinates in a local representation. The two main advantages of the present algebraic approach are a possible connection with configuration space and the correct description of systems with either local or normal mode character. The system Hamiltonian and polarizability tensor are expanded in term...

ژورنال: فیزیک زمین و فضا 2018

Transforming geocentric Cartesian coordinates (X, Y, Z) to geodetic curvilinear coordinates (φ, λ, h) on a biaxial ellipsoid is one of the problems used in satellite positioning, coordinates conversion between reference systems, astronomy and geodetic calculations. For this purpose, various methods including Closed-form, Vector method and Fixed-point method have been developed. In this paper, a...

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