A method is presented to construct computationally efficient reduced order models (ROMs) of three dimensional aerodynamic flows around commercial aircraft components. The method is based on the proper orthogonal decomposition (POD) of a set of steady snapshots, which are calculated using an industrial computational fluid dynamics (CFD) solver. The POD-mode amplitudes are calculated minimizing a...

High Order Resolution and Parallel Implementation on Unstructured Grids. (December 1996) Yufeng Yao, University of Glasgow Supervisor: Professor B. E. Richards In this thesis the numerical solution of the two-dimensional compressible NavierStokes equations for the application on aerodynamic problems is tackled. The motivation is to develop a cell-centred upwind finite volume scheme with high or...

reduced differental transform method (rdtm), which isone of the useful and effective numerical method, is applied to solve nonlinear time-dependent foam drainage equation (fde) with different initial conditions. we compare our method with the famous adomian decomposition and laplace decomposition methods. the obtained resultsdemonstrated that rdtm is a powerful tool for solving nonlinear par...

A collection of computational fluid dynamics tools and techniques are being developed and tested for application to stage separation and abort simulation for next-generation launch vehicles. In this work, an overset grid Navier-Stokes flow solver has been enhanced and demonstrated on a matrix of proximity cases and on a dynamic separation simulation of a belly-to-belly wing-body configuration. ...

A time-dependent coordinate transformation of a constant coefficient hyperbolic system of equations is considered. We use the energy method to derive well-posed boundary conditions for the continuous problem. Summation-by-Parts (SBP) operators together with a weak imposition of the boundary and initial conditions using Simultaneously Approximation Terms (SATs) guarantee energy-stability of the ...

We present a hybridized discontinuous Galerkin (HDG) solver for the time-dependent compressible Euler and Navier-Stokes equations. In contrast to discontinuous Galerkin (DG) methods, the number of globally coupled degrees of freedom is usually tremendously smaller for HDG methods, as these methods can rely on hybridization. However, applying the method to a time-dependent problem amounts to sol...

In this technical report we study the convergence of Parareal for 2D incompressible flow around a cylinder for different viscosities. Two methods are used as fine integrator: backward Euler and a fractional step method. It is found that Parareal converges better for the implicit Euler, likely because it under-resolves the fine-scale dynamics as a result of numerical diffusion.

The paper deals with numerical simulation of a compressible flow in timedependent 2D domains with a special interest in medical applications to airflow in the human vocal tract. The mathematical model of this process is described by the compressible Navier-Stokes equations. For the treatment of the time-dependent domain, the arbitrary Lagrangian-Eulerian (ALE) method is used. The discontinuous ...

Implicit Euler approximations of the equations governing the porous flow of two imiscible incompressible fluids are shown to be the Euler–Lagrange equations of a convex function. Tools from convex analysis are then used to develop robust fully discrete algorithms for their numerical approximation. Existence and uniqueness of solutions control volume approximations are established.

A highly accurate pseudospectral numerical approximation to the generalized coordinate, nonconservative form of the Euler equations is implemented for supersonic flow over an axisymmetric blunt body geometry; shock fitting is employed to maintain global accuracy and minimize the corrupting influence of numerical viscosity. The variables in the Euler equations as well as the physical grid coordi...