22–25 May 2023
Europe/London timezone

An energy stable SPH method for fluid-solid coupling in geological porous medium

25 May 2023, 10:45
1h 30m
Poster Presentation (MS07) Mathematical and numerical methods for multi-scale multi-physics, nonlinear coupled processes Poster

Speaker

XINGYU ZHU

Description

The great challenge for understanding the porous media is the heterogeneity in rocks known as the core structures with different types and scales. Recently, with the development of digital core technology, more reliable information can be used to indicate the potential influence of fluid flowing in porous media. Thus, the pore-scale modeling that simulates the fluids flow directly in the three-dimensional Micro-Nano core structures provides a more accurate and stable prediction of the flowing. However, traditional numerical methods suffer a number of difficulties in pore-scale modeling, especially when the pore structures are complex, known as a type of fluid-solid coupling. This paper adopts a modified particle-based method, Smoothed particle hydrodynamics (SPH), to pore-scale modeling to improve the stability and accuracy of the incompressible fluid flow within complex geometry. The novel method divides the domain into system and surroundings, represented by fluid and solid particles, respectively, where the interaction between the fluid and solid particles can be simulated naturally without additional coefficients. The governing equations for the different particles are consistent, and constraints are adopted to restrict the motion of solid particles and the incompressibility of the fluid. We design numerical schemes based on the projection method to preserve the unconditional energy stability, indicating unconditional numerical stability, which allows a large size of the time step and accurate fluid-solid coupling. The feasibility and novelty of the proposed method are verified by comparing it with the experimental benchmark. Furthermore, our method has great potential for the problems of grain flow.

Participation In-Person
Country Saudi Arabia
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Primary authors

XINGYU ZHU Mr Xiuping Wang

Co-author

Shuyu Sun (King Abdullah University of Science and Technology (KAUST))

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