Advances in the Numerical Integration of the 3-D Euler Equations in Vibrating Cascades

Volume 5: Manufacturing Materials and Metallurgy; Ceramics; Structures and Dynamics; Controls, Diagnostics and Instrumentation; Education ◽

10.1115/92-gt-170 ◽

1992 ◽

Cited By ~ 3

Author(s):

Georg A. Gerolymos

Keyword(s):

Boundary Conditions ◽

Numerical Integration ◽

Euler Equations ◽

Finite Volume ◽

Computational Results ◽

Grid Refinement ◽

Mobile Grid ◽

Transonic Compressor ◽

Runge Kutta

In the present work an algorithm for the numerical integration of the 3-D unsteady Euler equations in vibrating transonic compressor cascades is described. The equations are discretized in finite-volume formulation in a mobile grid using isoparametric brick elements. They are integrated in time using Runge-Kutta schemes. A thorough discussion of the boundary-conditions used and of their infuence on results is undertaken. The influence of grid refinement on computational results is examined. Unsteady convergence of results is discussed.

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Advances in the Numerical Integration of the Three-Dimensional Euler Equations in Vibrating Cascades

Journal of Turbomachinery ◽

10.1115/1.2929316 ◽

1993 ◽

Vol 115 (4) ◽

pp. 781-790 ◽

Cited By ~ 16

Author(s):

G. A. Gerolymos

Keyword(s):

Boundary Conditions ◽

Numerical Integration ◽

Euler Equations ◽

Finite Volume ◽

Three Dimensional ◽

Computational Results ◽

Grid Refinement ◽

Mobile Grid ◽

Transonic Compressor ◽

Runge Kutta

In the present work an algorithm for the numerical integration of the three-dimensional unsteady Euler equations in vibrating transonic compressor cascades is described. The equations are discretized in finite-volume formulation in a mobile grid using isoparametric brick elements. They are integrated in time using Runge-Kutta schemes. A thorough discussion of the boundary conditions used and of their influence on results is undertaken. The influence of grid refinement on computational results is examined. Unsteady convergence of results is discussed.

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A meshfree finite volume method with optimal numerical integration and direct imposition of essential boundary conditions

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.02.005 ◽

2020 ◽

Vol 153 ◽

pp. 98-113

Author(s):

Hengguang Li ◽

Qinghui Zhang

Keyword(s):

Boundary Conditions ◽

Finite Volume Method ◽

Numerical Integration ◽

Finite Volume ◽

Volume Method

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The high hall ventilation with the simplified simulation of the fan

EPJ Web of Conferences ◽

10.1051/epjconf/201818002051 ◽

2018 ◽

Vol 180 ◽

pp. 02051

Author(s):

Martin Kyncl ◽

Jaroslav Pelant

Keyword(s):

Numerical Simulation ◽

Gravitational Field ◽

Boundary Conditions ◽

Finite Volume Method ◽

Riemann Problem ◽

Finite Volume ◽

Unstructured Meshes ◽

System Of Equations ◽

Computational Results ◽

Volume Method

Here we work with the system of equations describing the non-stationary compressible turbulent multi-component flow in the gravitational field. We focus on the numerical simulation of the fan situated inside the high hall. The RANS equations are discretized with the use of the finite volume method. The original modification of the Riemann problem and its solution is used at the boundaries. The combination of specific boundary conditions is used for the simulation of the fan. The presented computational results are computed with own-developed code (C, FORTRAN, multiprocessor, unstructured meshes in general).

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