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102

Aerodynamics and Fluid Mechanics

Approach to Solution

Concepts of physical design of modeling and discretiza-

tion error have been successfully employed for further

development of high-resolution schemes and targeted

ENO schemes that are suitable for underresolved

computations of turbulent and non-turbulent flows. The

physically consistent implicit LES model ALDM has been

applied to turbulent shock-boundary-layer interaction at

unprecedented Reynolds numbers. Extending the general

concept to numerical models for fluctuating hydrodynam-

ics, the manipulation of modeling errors within the

dissipative-particle-dynamics model is investigated to

explore spontaneous long-range correlations in turbulent

flows. Physical effects of truncation errors in particle-dis-

cretizations may also lead to relaxation processes that

allow for highly effective mesh generation and domain

partitioning methods. Both have been developed to a

pre-commercialization demonstration level.

Key Results

■■

Pasquariello, V.; Hickel, S.; Adams, N.A.: Unsteady

effects of strong shock-wave/boundary-layer interac-

tion at high Reynolds number. Journal of Fluid Mechan-

ics (823), 2017, pp. 617-657 mehr … BibTeX Volltext

(DOI)

■■

Diegelmann, F., Hickel, S., Adams, N.A.: Three-dimen-

sional reacting shock–bubble interaction. Combustion

and Flame 181, 2017, pp. 1339-1351 mehr … BibTeX

Volltext (DOI)

■■

Fu, L.; Hu, X.Y.; Adams, N.A.: Targeted ENO schemes

with tailored resolution property for hyperbolic conser-

vation laws. Journal of Computational Physics (349),

2017, pp. 97-121 mehr … BibTeX Volltext (DOI)

■■

Fu, L.; Hu, X.Y.; Adams, N.A.: A physics-motivated

Centroidal Voronoi Particle domain decomposition

method, Journal of Computational Physics 335, 2017,

pp. 718-735 mehr … BibTeX Volltext ( DOI )

■■

European Patent Application EP32556611, Hu X., Fu L.,

Han L., Adams N.A., Method and system for generating

a mesh

Vortex-ring evolution for reacting shock-bubble interaction, grey shades

correspond to inert-gas mass fraction and red is isosurface of vorticity v

Automatic generation of unstructured meshes with high mesh quality

based on physical-particle advection anaology

Smoothed Particle Hydrodynamics Method for Simulating Free Surface Flow

Motivation and Objectives

Smoothed particle hydrodynamics (SPH) is a purely mesh-

free Lagrangian method developed for astrophysical appli-

cations. Since these pioneering works, the SPH method

has been successfully applied for numerical simulations

of solid mechanics, fluid dynamics and fluid-structure

interaction. Concerning the computation of hydrodynamic

problems, the present methods either lead to violent

pressure oscillations or excessive dissipation and are not

able to reproduce correct physical phenomena reliably.

Approach to Solution

We present a low-dissipation, weakly-compressible SPH

method for modeling free-surface flows exhibiting violent

events such as impact and breaking. The key idea is to

modify a Riemann solver which determines the interaction

between particles by using a simple limiter to decrease

the intrinsic numerical dissipation. The modified Riemann

solver is also extended for imposing wall boundary con-

ditions. Numerical tests show that the method resolves

free-surface flows accurately and produces smooth,

accurate pressure fields.