The linear analysis of turbomachinery aeroelasticity relies on the assumption of small level of unsteadiness and requires the solution of both the nonlinear steady and the linear unsteady flow equations. The objective of the analysis is to compute a complex flow solution that represents the amplitude and phase of the unsteady flow perturbation for the frequency of unsteadiness of interest. The ...

Dynamic stall is an aerodynamic phenomenon encountered when rotorcraft operate near performance boundaries typical of high-speed or maneuvering flight. The complex, highly non-linear aerodynamics and associated interaction with the structures induce exceptionally high loads, violent vibrations, reduced handling qualities, and a reduction in fatigue life. The prediction of dynamic stall remains ...

Based on its good theoretical properties, the use of entropy variables is an excellent choice for computing compressible flows at low Mach number. In this paper, we discuss in a discontinuous Galerkin discretization Euler equations and generalize numerical flux proposed by Barth to physical conservative variables. Next, compare DG0 based with several other discretizations, also standard finite ...

Within OpenFOAM, we develop a pressure-based solver for the Euler equations written in conservative form using density, momentum, and total energy as variables. Under simplifying assumptions, these are used to describe non-hydrostatic atmospheric flow. For stabilization of capture sub-grid processes, consider two Large Eddy Simulation models: classical Smagorinsky model one equation eddy-viscos...

• A system consisting of the Euler-Bernoulli beam subjected to tendon loading is studied. The attached at tip and in several locations Computational free vibration analysis conducted validated. effect number location attachment points evaluated. Structural stability beam-tendon investigated. Free Euler–Bernoulli axially loaded by a studied paper. cantilever as well spanwise using mechanical poi...

In this paper, we improve the Navier-Stokes flow solver developed by Sun et al based on the spectral volume method in the following two aspects: the development of a more efficient implicit/p-multigrid solution approach, and the use of a new viscous flux formula. An implicit preconditioned LU-SGS p-multigrid method developed for the spectral difference (SD) Euler solver by Liang et al is adopte...

In this paper we demonstrate the performance of a slope limiting procedure combined with a discontinuous Galerkin (DG) finite element solver for 2D compressible Euler equations. The slope limiter can be categorized into van Albada type and is differentiable. This slope limiter is modified from a similar limiter used in finite volume solvers to suit the needs of the DG solver. The gradient in an...

Recently developed concept of dissipative measure-valued solution for compressible flows is a suitable tool to describe oscillations and singularities possibly in solutions multidimensional Euler equations. In this paper we study the convergence first-order finite volume method based on exact Riemann solver complete Specifically, derive entropy inequality prove consistency numerical method. Pas...

The present paper concerns the study of nonconservative bitemperature Euler system with transverse magnetic field. We firstly introduce an underlying conservative kinetic model coupled to Maxwell equations. field is then established from this by hydrodynamic limit. Next we derivation a finite volume method approximate weak solutions. It obtained solving relaxation Suliciu type, and similar HLLC...