In this paper, we design stable and accurate numerical schemes for conservation laws with stiff source terms. A prime example and the main motivation for our study is the reactive Euler equations of gas dynamics. Furthermore, we consider widely studied scalar model equations. We device one-step IMEX (implicit-explicit) schemes for these equations that treats the convection terms explicitly and ...

A multiblock structured grid solver for 3D Euler/Navier-Stokes equations is developed in this study. The employs the finite difference method together with lower-upper factored scheme to provide fast solutions, while use of grids allows algorithm be applied complex geometries. then tested on a "body-only" axisymmetric model single-engine fighter aft-end which was previously investigated experim...

This paper presents a new framework for the coupled optimization of aero-structural systems. The framework permits the use of high-fidelity modeling of both the aerodynamics and the structures and represents our first step in an effort towards the development of a high-fidelity multidisciplinary optimization capability. The approach is based on efficient analysis methodologies for the solution ...

Partial differential equation (PDE) solvers are commonly employed to study and characterize the parameter space for reactiondiffusion (RD) systems while investigating biological pattern formation. Increasingly, biologists wish to perform such studies with arbitrary surfaces representing ‘real’ 3D geometries for better insights. In this paper, we present a highly optimized CUDA-based solver for ...

An optimization procedure aimed at the design of multicomponent airfoils for high-lift applications is described. The procedure is based on a multiobjective genetic algorithm; two #ow solvers have been coupled with the genetic algorithm: a viscous}inviscid interaction method, based on an Euler #ow solver and an integral boundary layer routine, and a method based on a full potential #ow solver. ...

This paper presents an approach, which combines the conventional finite volume method (FVM) with the lattice Boltzmann Method (LBM), to simulate compressible flows. Similar to the Godunov scheme, in the present approach, LBM is used to evaluate the flux at the interface for local Riemann problem when solving Euler/Navier-Stokes (N-S) equations by FVM. Two kinds of popular compressible Lattice B...

We are interested in an Eulerian–Lagrangian model describing particulate flows. The model under study consists of the Euler system and a Vlasov-Fokker-Planck equation coupled through momentum and energy exchanges. This problem contains asymptotic regimes that make the coupling terms stiff, and lead to a limiting model of purely hydrodynamic type. We design a numerical scheme which is able to ca...

A new multidomain/multiphysics computational framework for optimal control of aeroacoustic noise has been developed based on a near-field compressible Navier–Stokes solver coupled with a far-field linearized Euler solver both based on a discontinuous Galerkin formulation. In this approach, the coupling of near-and far-field domains is achieved by weakly enforcing continuity of normal fluxes acr...

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...