A new averaging scheme for the riemann problem in pure water

Chen, Tze-Jang; Cooke, Charlie H.

doi:10.1016/s0895-7177(97)00013-7

Cited by 2 publications

(3 citation statements)

References 20 publications

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“…Sod's problem for pure water: (a) pressure distribution, (b) density distribution, (c) mass velocity distribution; 1—the present analytical solution and 2—numerical solution .…”

Section: Examplesmentioning

confidence: 99%

“…For quality assurance of the aforementioned presented method, the Riemann problem for pure water is investigated. The following initial parameters were used :…”

Section: Examplesmentioning

confidence: 99%

“…The solution at time 0.2 ms is presented as lines ‘1’ in Figure that demonstrates the pressure (a), density (b), and the mass velocity (c) distributions along the x direction. Lines ‘2’ in this figure denote the corresponding solution obtained in .…”

Section: Examplesmentioning

confidence: 99%

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Riemann solver for irreversibly compressible three-phase porous media

Feldgun

Karinski

Yankelevsky

2013

Int. J. Numer. Anal. Meth. Geomech.

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SUMMARY The Riemann problem for an irreversibly compressible three‐phase medium has been solved. This solution introduces the maximum medium density that is attained in the process of active loading. The possible wave configurations have been analyzed, and the corresponding equations for the evaluation of the contact pressure and velocity have been obtained. The existence and uniqueness of the solution has been proven. The technique of the Riemann problem's solution for the arbitrary Lagrange–Euler mesh was developed. Examples of the Riemann problem solution for various wave configurations show that neglecting the bulk elastic plastic deformations yields significant errors in the results both quantitatively and qualitatively. The effect of the air volumetric content in a three‐phase soil medium on the Riemann problem solution has been investigated. Copyright © 2013 John Wiley & Sons, Ltd.

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“…Sod's problem for pure water: (a) pressure distribution, (b) density distribution, (c) mass velocity distribution; 1—the present analytical solution and 2—numerical solution .…”

Section: Examplesmentioning

confidence: 99%

“…For quality assurance of the aforementioned presented method, the Riemann problem for pure water is investigated. The following initial parameters were used :…”

Section: Examplesmentioning

confidence: 99%

See 1 more Smart Citation

Riemann solver for irreversibly compressible three-phase porous media

Feldgun

Karinski

Yankelevsky

2013

Int. J. Numer. Anal. Meth. Geomech.

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Characterisation of the progression of azaserine-induced rat pancreatic adenocarcinoma by proliferative cell nuclear antigen, basement membrane laminin and trypsinogen immunohistochemistry

Nagy

Pálfia

Réz

2003

Histochem Cell Biol

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The progression of azaserine-induced rat pancreatic adenocarcinoma (AC) was characterised using quantitative and semiquantitative immunohistochemistry for proliferating cell nuclear antigen (PCNA), basement membrane laminin (BML) and trypsinogen (TG). Samples were taken 5-20 months after initiation. High PCNAlabelling indices (PCNA LIs) were measured 5 months after the induction of atypical acinar cell nodules (AACNs), which decreased later and stagnated until a further decline in the month 10 adenomas. Then a second premalignant proliferative wave was observed (month 13) within the adenoma stage. Later, in month 20 differentiated ACs PCNA LIs fell to the host tissue level but were found highest in the month 20 anaplastic ACs indicating a switch to malignant proliferation. Month 20 invasive ACs showed a number of separate proliferative foci. In early AACNs, BML decreased and remained low till the local maximum in the month 13 adenoma. Invasive ACs did not express BML. Month 5 AACN and differentiated AC were TG deficient but anaplastic AC regained its TG expression. However invasive AC was again TG negative. These results are discussed in combination with our previous data on progressional changes of autophagic capacity and microvessel densities.

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A new averaging scheme for the riemann problem in pure water

Cited by 2 publications

References 20 publications

Riemann solver for irreversibly compressible three-phase porous media

Riemann solver for irreversibly compressible three-phase porous media

Characterisation of the progression of azaserine-induced rat pancreatic adenocarcinoma by proliferative cell nuclear antigen, basement membrane laminin and trypsinogen immunohistochemistry

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