Time-split finite-volume method for three-dimensional blunt-body flow

Rizzi, Arthur; Inouye, Mamoru

doi:10.2514/6.1973-133

Cited by 13 publications

(7 citation statements)

References 11 publications

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“…Regardless of all these spectacular advancements of the FD schemes, the rigid connectivity of their underlying, topologically rectangular grids has been long recognised [112] as an obstacle for effective flow simulation in complex geometric configurations that cannot be efficiently accommodated with global mappings.…”

Section: Historical Backgroundmentioning

confidence: 99%

Simulation of all-scale atmospheric dynamics on unstructured meshes

Smolarkiewicz

Szmelter

Xiao

2016

Journal of Computational Physics

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The advance of massively parallel computing in the nineteen nineties and beyond encouraged finer grid intervals in numerical weather-prediction models. This has improved resolution of weather systems and enhanced the accuracy of forecasts, while setting the trend for development of unified all-scale atmospheric models. This paper first outlines the historical background to a wide range of numerical methods advanced in the process. Next, the trend is illustrated with a technical review of a versatile nonoscillatory forward-in-time finite-volume (NFTFV) approach, proven effective in simulations of atmospheric flows from small-scale dynamics to global circulations and climate. The outlined approach exploits the synergy of two specific ingredients: the MPDATA methods for the simulation of fluid flows based on the sign-preserving properties of upstream differencing; and the flexible finite-volume median-dual unstructured-mesh discretisation of the spatial differential operators comprising PDEs of atmospheric dynamics. The paper consolidates the concepts leading to a family of generalised nonhydrostatic NFTFV flow solvers that include soundproof PDEs of incompressible Boussinesq, anelastic and pseudoincompressible systems, common in large-eddy simulation of small-and meso-scale dynamics, as well as all-scale compressible Euler equations. Such a framework naturally extends predictive skills of large-eddy simulation to the global atmosphere, providing a bottom-up alternative to the reverse approach pursued in the weatherprediction models. Theoretical considerations are substantiated by calculations attesting to the versatility and efficacy of the NFTFV approach. Some prospective developments are also discussed.

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Section: Historical Backgroundmentioning

confidence: 99%

Simulation of all-scale atmospheric dynamics on unstructured meshes

Smolarkiewicz

Szmelter

Xiao

2016

Journal of Computational Physics

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“…The second order central scheme with addition of second and fourth order artificial dissipation is used for space discretisation [22]. To accelerate the convergence, local time stepping [23], implicit residual smoothing [24] and multigrid [25] are employed. The mixing plane method [18] is employed in the steady simulation and the continuous interface plane method [3] is used in the time-averaging simulation for the interblade row coupling.…”

Section: Solutionsmentioning

confidence: 99%

Study of modeling unsteady blade row interaction in a transonic compressor stage part 1: code development and deterministic correlation analysis

Liu

2012

Acta Mech Sin

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The average-passage equation system (APES) provides a rigorous mathematical framework for accounting for the unsteady blade row interaction through multistage compressors in steady state environment by introducing deterministic correlations (DC) that need to be modeled to close the equation system. The primary purpose of this study is to provide insight into the DC characteristics and the influence of DC on the time-averaged flow field of the APES. In Part 1 of this two-part paper, firstly a 3D viscous unsteady and time-averaging flow CFD solver is developed to investigate the APES technique. Then steady and unsteady simulations are conducted in a transonic compressor stage. The results from both simulations are compared to highlight the significance of the unsteady interactions. Furthermore, the distribution characteristics of DC are studied and the DC at the rotor/stator interface are compared with their spatial correlations (SC). Lastly, steady and time-averaging (employing APES with DC) simulations for the downstream stator alone are conducted employing DC derived from the unsteady results. The results from steady and time-averaging simulations are compared with the time-averaged unsteady results. The comparisons demonstrate that the simulation employing APES with DC can reproduce the time-averaged field and the 3D viscous time-averaging flow solver is validated.

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“…The term finite volume method was first used to describe methods developed in the 1970's to approximate the system of hyperbolic conservation laws that model the flow of compressible fluids -see [19] and [29] for early references and [23] for a recent survey. To apply it to the convection-diffusion equation (1.5) in two dimensions, we divide the domain into a system of triangular or quadrilateral cells C j , and take our test space T h to consist of piecewise constants on these cells.…”

Section: Introductionmentioning

confidence: 99%