The Computation of Nonclassical Shock Waves in Porous Media with a Heterogeneous Multiscale Method: The Multidimensional Case

2015 ◽  
Vol 13 (4) ◽  
pp. 1507-1541 ◽  
Author(s):  
Frederike Kissling ◽  
Christian Rohde
Keyword(s):  
Porous Media ◽  
Shock Waves ◽  
Multiscale Method ◽  
Multidimensional Case ◽  
Heterogeneous Multiscale

scholarly journals New Scheme of Finite Difference Heterogeneous Multiscale Method to Solve Saturated Flow in Porous Media

2014 ◽  
Vol 2014 ◽  
pp. 1-19
Author(s):  
Fulai Chen ◽  
Li Ren
Keyword(s):  
Porous Media ◽  
Finite Difference ◽  
Sudden Change ◽  
Multiscale Method ◽  
Flow In Porous Media ◽  
Computational Time ◽  
Saturated Water ◽  
Comparable Accuracy ◽  
Multiscale Finite Element ◽  
Heterogeneous Multiscale

A new finite difference scheme, the development of the finite difference heterogeneous multiscale method (FDHMM), is constructed for simulating saturated water flow in random porous media. In the discretization framework of FDHMM, we follow some ideas from the multiscale finite element method and construct basic microscopic elliptic models. Tests on a variety of numerical experiments show that, in the case that only about a half of the information of the whole microstructure is used, the constructed scheme gives better accuracy at a much lower computational time than FDHMM for the problem of aquifer response to sudden change in reservoir level and gives comparable accuracy at a much lower computational time than FDHMM for the weak drawdown problem.

Multiscale Method for Simulating Two-and Three-Phase Flow in Porous Media

2013 ◽  
Author(s):  
Mayur Pal ◽  
Sadok Lamine ◽  
Knut-Andreas Lie ◽  
Stein Krogstad
Keyword(s):  
Porous Media ◽  
Multiscale Method ◽  
Flow In Porous Media ◽  
Phase Flow ◽  
Three Phase ◽  
Three Phase Flow

A simple constitutive model for predicting the pressure histories developed behind rigid porous media impinged by shock waves

2013 ◽  
Vol 718 ◽  
pp. 507-523 ◽  
Author(s):  
O. Ram ◽  
O. Sadot
Keyword(s):  
Shock Wave ◽  
Porous Medium ◽  
Porous Media ◽  
Shock Waves ◽  
Constitutive Model ◽  
Wave Attenuation ◽  
Front Face ◽  
Viscous Effects ◽  
Pressure History ◽  
Target Wall

AbstractShock wave attenuation by means of rigid porous media is often applied when protective structures are dealt with. The passage of a shock wave through a layer of porous medium is accompanied by diffractions and viscous effects that attenuate and weaken the transmitted shock, thus reducing the load that develops on the target wall that is placed behind the protective layer. In the present study, the parameters governing the pressure build-up on the target wall are experimentally investigated using a shock tube facility. Different porous samples are impinged by normal shock waves of various strengths and the subsequent pressure histories that are developed on the target wall are recorded. In addition, different standoff distances from the target wall are investigated. Assuming that the flow through the porous medium is close to being isentropic enabled us to develop a general constitutive model for predicting the pressure history developed on the target wall. This model can be applied to predict the pressure build-up on the target wall for any pressure history that is imposed on the front face of the porous sample without the need to conduct numerous experiments. Results obtained by other investigators are found to be in very good agreement with the predictions of the presently developed constitutive model.

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