Dissipative issue of high-order shock capturing schemes with non-convex equations of state

Heuzé, Olivier; Jaouen, Stéphane; Jourdren, Hervé

doi:10.1016/j.jcp.2008.10.005

Cited by 21 publications

(32 citation statements)

References 37 publications

(71 reference statements)

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“…The Mie-Grüneisen EOS is specially interesting for the studies of shock waves with multiple phase transitions and mixtures at high pressures and is used to model condensed phase materials to effectively describe the hydrodynamic shock response of many materials included metals 1,[15][16][17]41,42 . In this Section we consider a particular case of this formulation representing a fictitious material called "Bizarrium" proposed in Refs.…”

Section: B a Mie-grüneisen Model For Fluids Under The Influence Of Mmentioning

confidence: 99%

“…In this Section we consider a particular case of this formulation representing a fictitious material called "Bizarrium" proposed in Refs. 41,42 and extensively studied in Ref. 42 .…”

Section: B a Mie-grüneisen Model For Fluids Under The Influence Of Mmentioning

confidence: 99%

“…41,42 and extensively studied in Ref. 42 . The Bizarrium EOS is built such that the material describes wave propagation with continuous changes of concavity in the isentropes.…”

Section: B a Mie-grüneisen Model For Fluids Under The Influence Of Mmentioning

confidence: 99%

“…42 the domain of validity of this EOS is determined by relevant values of the reference potential and thermodynamic stability. These conditions provide that the density must be restricted between 8113.102 and 16666.666 kg/m 3 .…”

Section: B a Mie-grüneisen Model For Fluids Under The Influence Of Mmentioning

confidence: 99%

“…We illustrate our analytical approach considering the MHD system and two non-convex EOS that exhibit anomalous behavior. We analyze a van der Waals model that exhibits phase transition 28,30 and a Mie-Grüneisen type EOS 1,41,42 which is considered as representative of real liquids and solids for which the fundamental derivative changes sign. In both cases we analyze the structure and behavior of wave curves determined by the nonlinearity factor.…”

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confidence: 99%

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Anomalous wave structure in magnetized materials described by non-convex equations of state

Serna

Marquina

2014

Physics of Fluids

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We analyze the anomalous wave structure appearing in flow dynamics under the influence of magnetic field in materials described by non-ideal equations of state. We consider the system of magnetohydrodynamics equations closed by a general equation of state (EOS) and propose a complete spectral decomposition of the fluxes that allows us to derive an expression of the nonlinearity factor as the mathematical tool to determine the nature of the wave phenomena. We prove that the possible formation of non-classical wave structure is determined by both the thermodynamic properties of the material and the magnetic field as well as its possible rotation. We demonstrate that phase transitions induced by material properties do not necessarily imply the loss of genuine nonlinearity of the wavefields as is the case in classical hydrodynamics. The analytical expression of the nonlinearity factor allows us to determine the specific amount of magnetic field necessary to prevent formation of complex structure induced by phase transition in the material. We illustrate our analytical approach by considering two non-convex EOS that exhibit phase transitions and anomalous behavior in the evolution. We present numerical experiments validating the analysis performed through a set of one-dimensional Riemann problems. In the examples we show how to determine the appropriate amount of magnetic field in the initial conditions of the Riemann problem to transform a thermodynamic composite wave into a simple nonlinear wave.

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Section: B a Mie-grüneisen Model For Fluids Under The Influence Of Mmentioning

confidence: 99%

“…In this Section we consider a particular case of this formulation representing a fictitious material called "Bizarrium" proposed in Refs. 41,42 and extensively studied in Ref. 42 .…”

Section: B a Mie-grüneisen Model For Fluids Under The Influence Of Mmentioning

confidence: 99%

“…41,42 and extensively studied in Ref. 42 . The Bizarrium EOS is built such that the material describes wave propagation with continuous changes of concavity in the isentropes.…”

Section: B a Mie-grüneisen Model For Fluids Under The Influence Of Mmentioning

confidence: 99%

Section: B a Mie-grüneisen Model For Fluids Under The Influence Of Mmentioning

confidence: 99%

mentioning

confidence: 99%

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Anomalous wave structure in magnetized materials described by non-convex equations of state

Serna

Marquina

2014

Physics of Fluids

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Fine‐grain data management directory for OpenMP 4.0 and OpenACC

Jaeger

Carribault

Pérache

2014

Concurrency and Computation

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SUMMARYToday's trend to use accelerators in heterogeneous systems forces a paradigm shift in programming models. The use of low-level APIs for accelerator programming is tedious and not intuitive for casual programmers. To tackle this problem, recent approaches focused on high-level directive-based models, with a standardization effort made with OpenACC and the directives for accelerator in the latest OpenMP 4.0 release. The pragmas for data management automatically handle data exchange between the host and the device. To keep the runtime simple and efficient, severe restrictions hinder the use of these pragmas. To address this issue, we propose the design for a directory, along with a reduced runtime application binary interface, to handle correctly data management in these standards. A few improvements to our directory allow a more flexible use of data management pragmas, with negligible overhead. Our design fits a multi-accelerator system.

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