19–22 May 2026
Europe/Paris timezone

Multi-scale simulation of two-phase flows in porous materials

19 May 2026, 09:50
1h 30m
Poster Presentation (MS07) Mathematical and numerical methods for multi-scale multi-physics, nonlinear coupled processes Poster

Speaker

Dr Vadim Lisitsa (Institute of Mathematics SB RAS)

Description

We present an original numerical method to simulate multiscale fluid flows. The approach is oriented on simulation flows in CT-scans-based models with resolved and unresolved porosity. Fluid flow is simulated using the Navier-Stokes-Brinkmann equation. The Cahn-Hilliard equation describes the phase transport at in resolved pores, whereas filtration transport with capillary pressure is simulated in unresolved pores. The two models are coupled ensuring the continuity of the saturation and the fluxes. We illustrate applicability of the approach for either simple geometries, such as droplet interaction with a flat porous material, or complex pores spaces geometries such as flows in carbonate rock samples.

Country Russia
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Authors

Tatiana Khachkova (Institute of Mathematics SB RAS) Dr Vadim Lisitsa (Institute of Mathematics SB RAS)

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