A second order all Mach number IMEX finite volume solver for the three dimensional Euler equations

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.

Download Full-text

Second Order Finite Volume Scheme on Tetrahedral Meshes for Three-Dimensional Maxwell’s Equations with Discontinuous Dielectric Permittivity

EPJ Web of Conferences ◽

10.1051/epjconf/201610802030 ◽

2016 ◽

Vol 108 ◽

pp. 02030

Author(s):

Timur Z. Ismagilov

Keyword(s):

Dielectric Permittivity ◽

Finite Volume ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Three Dimensional ◽

Second Order ◽

Finite Volume Scheme ◽

Volume Scheme ◽

Tetrahedral Meshes

Download Full-text

Three-dimensional hybrid finite volume solutions to the Euler equations for supersonic/hypersonic aircraft

10.2514/6.1989-281 ◽

1989 ◽

Cited By ~ 3

Author(s):

M. SICLARI

Keyword(s):

Euler Equations ◽

Finite Volume ◽

Three Dimensional ◽

Hypersonic Aircraft

Download Full-text

A second-order, discretely well-balanced finite volume scheme for euler equations with gravity

Computers & Fluids ◽

10.1016/j.compfluid.2019.02.003 ◽

2019 ◽

Vol 181 ◽

pp. 292-313 ◽

Cited By ~ 4

Author(s):

Deepak Varma ◽

Praveen Chandrashekar

Keyword(s):

Euler Equations ◽

Finite Volume ◽

Second Order ◽

Finite Volume Scheme ◽

Volume Scheme

Download Full-text

A Comparison of Third and Second Order Accurate Finite Volume Schemes for the Two-dimensional Compressible Euler Equations

Hyperbolic Problems: Theory, Numerics, Applications ◽

10.1007/978-3-0348-8724-3_26 ◽

1999 ◽

pp. 757-766 ◽

Cited By ~ 1

Author(s):

Sebastian Noelle

Keyword(s):

Euler Equations ◽

Finite Volume ◽

Second Order ◽

Compressible Euler Equations ◽

Two Dimensional ◽

Finite Volume Schemes ◽

Compressible Euler

Download Full-text

Investigation of the Three-Dimensional Transonic Flow around an Air Intake by a Finite-Volume Method for the Euler Equations

Recent Contributions to Fluid Mechanics ◽

10.1007/978-3-642-81932-2_12 ◽

1982 ◽

pp. 109-120

Author(s):

J. Grashof

Keyword(s):

Finite Volume Method ◽

Euler Equations ◽

Finite Volume ◽

Transonic Flow ◽

Three Dimensional ◽

Air Intake ◽

Volume Method

Download Full-text

Finite-volume solution of the euler equations for steady three-dimensional transonic flow

Proceedings of the Fifth International Conference on Numerical Methods in Fluid Dynamics June 28 – July 2, 1976 Twente University, Enschede - Lecture Notes in Physics ◽

10.1007/3-540-08004-x_338 ◽

1979 ◽

pp. 347-352 ◽

Cited By ~ 3

Author(s):

Arthur Rizzi ◽

Harry Bailey

Keyword(s):

Euler Equations ◽

Finite Volume ◽

Transonic Flow ◽

Three Dimensional

Download Full-text

A Second-Order Finite-Volume Scheme for Euler Equations: Kinetic Energy Preserving and Staggering Effects

Journal of Scientific Computing ◽

10.1007/s10915-016-0295-5 ◽

2016 ◽

Vol 71 (1) ◽

pp. 166-194

Author(s):

Andrea Perrotta ◽

Bernardo Favini

Keyword(s):

Kinetic Energy ◽

Euler Equations ◽

Finite Volume ◽

Second Order ◽

Finite Volume Scheme ◽

Volume Scheme ◽

Kinetic Energy Preserving

Download Full-text

A Comparative Study of Two Preconditioners for Solving 3D Inviscid Low Speed Flows

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.110-116.423 ◽

2011 ◽

Vol 110-116 ◽

pp. 423-430 ◽

Cited By ~ 1

Author(s):

Kazem Hejranfar ◽

Ramin Kamali Moghadam

Keyword(s):

Mach Number ◽

Comparative Study ◽

Euler Equations ◽

Finite Volume ◽

Eigenvalues And Eigenvectors ◽

Flow Solver ◽

Low Mach Number ◽

Euler Flow ◽

A Cell ◽

And Performance

In the present study, two preconditioners proposed by Eriksson, and Choi and Merkel are implemented on a 3D upwind Euler flow solver on unstructured meshes. The mathematical formulations of these preconditioning schemes for the set of primitive variables are drawn and their eigenvalues and eigenvectors are compared with each others. A cell-centered finite volume Roe's method is used for discretization of the 3D preconditioned Euler equations. The accuracy and performance of these preconditioning schemes are examined by computing low Mach number flows over the ONERA M6 wing for different conditions.

Download Full-text