Application of the Space–Time Conservation Element and Solution Element Method to One-Dimensional Convection–Diffusion Problems

Chang, Sin-Chung; Wang, Xiao-Yen; To, Wai Ming

doi:10.1006/jcph.2000.6610

Cited by 73 publications

(19 citation statements)

References 12 publications

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“…To date, the CESE based solvers have been utilized to solve a variety of problems including inviscid acoustic waves, traveling and interacting shocks, detonation waves, and cavitation flows. [17][18][19][20][21] The main objective of this study is to perform numerical computations for selected experimental configurations studied by Daso et al 16 Axisymmetric computations are carried out to study the underlying physics associated with the two modes of jet interaction. Results are compared against available experimental data, such as Schlieren images, and other details available in literature.…”

Section: Background and Introductionmentioning

confidence: 99%

Numerical Investigation of the Interaction of Counterflowing Jets and Supersonic Capsule Flows

Venkatachari

Ito

Cheng

et al. 2011

42nd AIAA Thermophysics Conference

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Section: Background and Introductionmentioning

confidence: 99%

Numerical Investigation of the Interaction of Counterflowing Jets and Supersonic Capsule Flows

Venkatachari

Ito

Cheng

et al. 2011

42nd AIAA Thermophysics Conference

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“…For this scheme, (ut)j is evaluated using a finite-difference/weighted-average procedure which involves a parameter a (see Eqs. (2.62), (2.63 ) and (2.65) in [12]). The key disadvantage of the a-a scheme and its extensions (see below) is that, compared with the more general CE/SE schemes, they allow for less freedom in adjusting numerical dissipation.…”

Section: The Ce/se Methodsmentioning

confidence: 93%

“…The Space-Time Conservation Element and Solution Element (CEjSE) Method, originally proposed by Chang [1][2][3][4][5][6][7][8][9][10][11][12][13], is a new numerical framework for solving conservation laws. The CE/SE m ethod is not an incremental improvement of a previously existing CFD m ethod , and it differs substantially from other well-established methods.…”

Section: Introductionmentioning

confidence: 99%

A Space-Time Conservation Element and Solution Element Method for Solving the Two- and Three-Dimensional Unsteady Euler Equations Using Quadrilateral and Hexahedral Meshes

Zhang¹,

Yu²,

Chang³

2002

Journal of Computational Physics

Self Cite

161

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“…Originally developed by Chang and coworkers, the CESE method [8][9][10][11][12] is a new numerical framework for conservation laws. The CESE method employs a unified treatment for space and time to enforce local and global space-time flux conservation, which differs substantially from conventional CFD methods.…”

Section: The Cese Methodsmentioning

confidence: 99%

Application of the CESE method to PDE plume dynamics using a Beowulf cluster

Zhang

Yu³

et al. 2002

40th AIAA Aerospace Sciences Meeting &Amp; Exhibit

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In the present paper, we report high-fidelity CFD simulation of plume dynamics of a pulse detonation engine (PDE) by using modern parallel computer architecture. The two-dimensional axisymmetric Euler equations for reacting flows are solved by the Space-Time CESE method. A one-step global reaction is employed to model chemical reactions of a propane/air mixture. Computational domain includes the interior of the detonation tube and the aft quadrants of the PDE up to 12 feet in the axial direction and 4.5 feet in the radial direction. Numerical results of averaged pressures oscillation and the wave speeds compare well with the experimental data. For the required numerical resolution, we used a Beowulf cluster with the channel bonding. Our experience in using the system is summarized in the present paper. Pulse Detonation EngineRecently, Pulse Detonation Engine (PDE) [1][2][3][4][5][6][7] has attracted significant attention in propulsion research and development community. The PDE concept has the potential to improve vehicle performance and cost effectiveness over traditional air breathing propulsion devices for certain fly regimes. Figure 1.1 is a schematic of a typical PDE cycle of fueling, detonation initiation, and detonation blow down. Due to strong wave motions, acoustics has been a concern. In this paper, we used the Space-Time Conservation Element and Solution Element (CESE) method, to calculate the inherent wave motions and unsteady flow fields inside and outside of a PDE.Pulsating jet noises of large amplitudes in both forward and aft quadrants are anticipated in flight tests of a PDE, in which a PDE will be integrated with a testing airplane. The amplitude and the propagation directions of pulsating plumes, and thus the resultant pressure loading on the fuselage and wings of the airplane, are of concern. The objective of the present paper is to perform highfidelity simulation of plume dynamics, and to assess transient pressure loading in the vicinity of the thruster.The computational problem here is challenging because the background mean flow is highly unsteady and with large vortex structures. Conventionally, computational aero acoustics for propulsion systems are performed in two steps: (1) CFD solutions of the RANS equations for the steady mean flows, and (2) the solution of a linear wave equation for the acoustic distribution.In the present paper, this two-step approach is not applied due to the pulsating nature of the thrust plume. Instead, the highly accurate and efficient CESE method is employed to directly calculate the pulsating plumes for both mean flows and embedded acoustics. The Model EquationsConsider the following Euler equations, coupled with a species equation:

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Application of the Space–Time Conservation Element and Solution Element Method to One-Dimensional Convection–Diffusion Problems

Cited by 73 publications

References 12 publications

Numerical Investigation of the Interaction of Counterflowing Jets and Supersonic Capsule Flows

Numerical Investigation of the Interaction of Counterflowing Jets and Supersonic Capsule Flows

A Space-Time Conservation Element and Solution Element Method for Solving the Two- and Three-Dimensional Unsteady Euler Equations Using Quadrilateral and Hexahedral Meshes

Application of the CESE method to PDE plume dynamics using a Beowulf cluster

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