Novel scalar-vector potential formulation for three-dimensional, inviscid, rotational flow problems

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Title

Novel scalar-vector potential formulation for three-dimensional, inviscid, rotational flow problems (EN)

Creator

Papailiou, KD (EN)

Giannakoglou, K (EN)

Chaviaropoulos, P (EN)

Type

journalArticle (EN)

Partial document
Publication in journal (EN)

Article
Scientific article (EN)

Issued

2014-03-01T01:08:04Z

1990 (EN)

Year

1990 (EN)

Description

A computational method for the calculation of steady, strongly rotational, inviscid, subsonic flowfields in three-dimensional ducts is presented. The method is based on the decomposition of the velocity vector into a potential and rotational part through the Helmholtz theorem. The computational algorithm requires the solution of elliptic-type equations for the scalar and vector potentials, where a completely novel approach for solving the vector potential equation has been adopted. The new formulation has better physical meaning than our previous one and has the great advantage of decoupling the vector potential boundary conditions. The use of very fast elliptic solvers, based on preconditioned minimization techniques, leads to very economic computations. The transport equations are handled in their Lagrangian form. (EN)

Scientific field

Engineering, Aerospace (EN)

Engineering and Technology ▶ Mechanical Engineering
Aerospace Engineering (EN)

Subject

Three Dimensional Rotational Problems (EN)

Scalar-Vector Potential Formulation (EN)

Three Dimensional (EN)

Flow of Fluids (EN)

Lagrangian Transport Equations (EN)

Mathematical Techniques--Vectors (EN)

Three Dimensional Duct Flows (EN)

Journal