An LU-SSOR scheme for the Euler and Navier-Stokes equations

Yoon, Seokkwan; Jameson, A.

doi:10.2514/6.1987-600

Cited by 255 publications

(91 citation statements)

References 4 publications

(1 reference statement)

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“…The solver is a lower-upper symmetric Gauss-Seidel scheme based on the works of Yoon and Jameson, 40 Yoon and Kwak, 41 and Peery and Imlay, 42 which provides for excellent scalability up to thousands of processors. 43 The SACCARA code has been used to obtain solutions for a wide variety of compressible ow problems.…”

Section: Flow Eld Solvermentioning

confidence: 99%

Methodology for Turbulence Model Validation: Application to Hypersonic Flows

Roy

Blottner

2003

Journal of Spacecraft and Rockets

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Section: Flow Eld Solvermentioning

confidence: 99%

Methodology for Turbulence Model Validation: Application to Hypersonic Flows

Roy

Blottner

2003

Journal of Spacecraft and Rockets

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“…The finite volume method using the second-order upwind LU difference scheme with TVD-properties [8] is applied for solving numerically the system (4) -(13) for carrier gas. The scheme is close to the scheme from [5].…”

Section: Methodsmentioning

confidence: 99%

Modeling of dispersion and ignition processes of finely dispersed particles of aluminum using a solid propellant gas generator

Рычков¹,

Miloshevich²,

Shokin³

et al. 2007

WIT Transactions on Engineering Sciences, Vol 56

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Using numerical modeling, we studied the formation and propagation of a cloud of finely dispersed aluminum particles generated by a special unit under the action of high-temperature combustion products from solid propellant gas generator, as well as the ignition conditions of these particles. We used the Favre-averaged system of Navier-Stokes equations closed by the q -ω turbulence model to simulate the formation and motion of the cloud of finely dispersed particles. The motion of the polydisperse second phase was described within a stochastic approach that takes into account the effect of the turbulent character of the flow field of the carrier gas on the motion of particles. The finite volume method using the second-order upwind LU difference scheme with TVD-properties is applied for numerically solving this system of equations. The results obtained are in a qualitative agreement with experiments carried out at the Fraunhofer Institute for Chemical Technology (Pfinztal, Germany).

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“…The same basic code structure is used on all machines; except for the LU-SGS [16], linear solver that required significant modifications to enhance efficiency. The LU-SGS solver combines the advantages of LU factorization and GaussSiedel relaxation to improve the numerical convergence rate.…”

Section: Lu-sgs Reorganizationmentioning

confidence: 99%

Performance Analysis of a Hybrid Overset Multi-block Application on Multiple Architectures

Djomehri

Biswas

2003

High Performance Computing - HiPC 2003

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This paper presents a detailed performance analysis of a multi-block overset grid computational fluid dynamics app!ication on multiple state-of-the-art computer architectures. The application is implemented using a hybrid MPI+OpenMP programming paradigm that exploits both coarse and fine-grain parallelism; the former via MPI message passing and the latter via OpenMP directives. The hybrid model also extends the applicability of multi-block programs to large clusters of SNIP nodes by overcoming the restriction that the number of processors be less than the number of grid blocks. A key kernel of the application, namely the LU-SGS linear solver, had to be modified to enhance the performance of the hybrid approach on the target machines. Investigations were conducted on cacheless Cray SX6 vector processors, cache-based IBM Power3 and Power4 architectures, and single system image SGI Origin3000 platforms. Overall results for complex vortex dynamics simulations demonstrate that the SX6 achieves the highest performance and outperforms the RISC-based architectures; however, the best scaling performance was achieved on the Power3.

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An LU-SSOR scheme for the Euler and Navier-Stokes equations

Cited by 255 publications

References 4 publications

Methodology for Turbulence Model Validation: Application to Hypersonic Flows

Methodology for Turbulence Model Validation: Application to Hypersonic Flows

Modeling of dispersion and ignition processes of finely dispersed particles of aluminum using a solid propellant gas generator

Performance Analysis of a Hybrid Overset Multi-block Application on Multiple Architectures

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