The PCICE-FEM scheme for highly compressible axisymmetric flows

Martineau, Richard

doi:10.1016/j.compfluid.2006.10.003

Cited by 6 publications

(6 citation statements)

References 14 publications

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“…If the simulation requires short time steps to resolve the physics coupling, JFNK may not be necessary to resolve the nonlinear coupling. The Pressure-Corrected Implicit Continuous-fluid Eulerian (PCICE) algorithm [20,21] is an operator-split semi-implicit time integration method that has some similarities with RE-LAP5's time integration method but does not suffer from phase and amplitude errors, given a stable time step. Conversely for very long duration transients, JFNK may not converge for very large time steps as the method relies on resolving the nonlinear coupling terms, and thus, may require an initial estimate of the solution close to the advanced solution time which maybe unavailable.…”

Section: Computational Approachmentioning

confidence: 99%

RELAP-7 Theory Manual

Berry

Peterson

Zhang

et al. 2018

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Section: Computational Approachmentioning

confidence: 99%

RELAP-7 Theory Manual

Berry

Peterson

Zhang

et al. 2018

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“…If the simulation requires short time steps to resolve the physics coupling, JFNK may not be necessary to resolve the nonlinear coupling. The Pressure-Corrected Implicit Continuous-fluid Eulerian (PCICE) algorithm [19,20] is an operator-split semi-implicit time integration method that has some similarities with RE-LAP5's time integration method but does not suffer from phase and amplitude errors, given a stable time step. Conversely for very long duration transients, JFNK may not converge for very large time steps as the method relies on resolving the nonlinear coupling terms, and thus, may require an initial estimate of the solution close to the advanced solution time which maybe unavailable.…”

Section: Computational Approachmentioning

confidence: 99%

“…The PCICE-FEM scheme [19,20,76,77] is a finite element method (FEM) spatial discretization of the Pressure-Corrected Implicit Continuous-fluid Eulerian (PCICE) algo-rithm. The PCICE algorithm defines the temporal discretization and hydrodynamic coupling procedure for the PCICE-FEM scheme.…”

Section: The Pcice Algorithmmentioning

confidence: 99%

RELAP-7 Theory Manual

Berry

Peterson

Zhang

et al. 2015

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“…The conservative solver employed in this study is the PCICE-FEM scheme [6]. The PCICE-FEM scheme is a finite element method (FEM) spatial discretization of the Pressure-Corrected Implicit Continuous-fluid Eulerian (PCICE) algorithm.…”

Section: Solution Methodsmentioning

confidence: 99%

A Preliminary Investigation of Rapid Depressurization Phenomena Following a Sudden DLOFC in a VHTR

Martineau¹,

Berry²,

Knoll³

2009

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Air ingress has been identified as a potential threat for Very High Temperature gas-cooled Reactors (VHTR). Reactor components constructed of graphite will, at high temperatures, produce exothermic reactions in the presence of oxygen. The danger lies in the possibility of fuel element damage and core structural failure. Previous investigations of air ingress mechanisms have focused on thermal and molecular diffusion, density-driven stratified flow due to hydrodynamic instability, and natural convection. Here, we investigate the possibility of a rapid flow reversal of helium coolant due to a Taylor (rarefaction) wave expansion after a hypothetical sudden depressurized loss of forced cooling (DLOFC) scenario in a VHTR. Concievably, flow reversal of the helium coolant could entrain significant quantities of air into the reactor vessel. Our analysis starts with a one-dimensional shock tube simulation to simply illustrate the development of a Taylor wave with resulting reentrant flow. Then, a simulation is performed of an idealized two-dimensional axisymmetric representation of the lower plenum of General Atomics GT-MHR subjected to a hypothetical catastrophic break of the hot duct. Analysis shows the potential for significant and rapid flow reversal into the reactor vessel in the case of a large break in the cooling system. 4

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The PCICE-FEM scheme for highly compressible axisymmetric flows

Cited by 6 publications

References 14 publications

RELAP-7 Theory Manual

RELAP-7 Theory Manual

RELAP-7 Theory Manual

A Preliminary Investigation of Rapid Depressurization Phenomena Following a Sudden DLOFC in a VHTR

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