Fluid-Solid Interaction Solver for Fracturing Media
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Solution Overview
Problem
Existing numerical models for fluid-solid interaction face challenges such as excessive computational cost and instability, particularly in accurately simulating fluid dynamics and solid fracture processes.
Innovation Solution
A computer-implemented method using a combined finite-discrete element method (FDEM) with an integrated explicit fluid solver, where fluid and solid meshes interact through an immersed boundary approach, allowing for synchronized time steps and addressing fluid transient pressure wave propagation, viscosity, and energy transport, while incorporating a fluid-solid interaction force based on relative velocities and permeability parameters.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If existing numerical models are used for fluid-solid interaction, then simulation capability is provided, but computational cost becomes excessive and instabilities occur
Solution Approach 1:
The patent combines the fluid solver and solid solver into a single integrated numerical model. The fluid solver handles transient pressure wave propagation and the solid solver handles fracture processes, with both solvers sharing the same time step and computational framework. This integration eliminates the need for separate coupled simulations, reducing computational overhead while maintaining stability in fluid-solid interaction scenarios.
2Device complexity
If separate coupled solvers are used for fluid and solid domains, then each solver can be optimized independently, but computational cost increases and complexity increases
Solution Approach 1:
The patent merges the fluid and solid solvers into a single integrated code with shared data structures and computational routines. Both solvers operate within the same numerical framework using identical time steps, eliminating the overhead of separate coupled simulations while maintaining the specialized capabilities of each solver type.
3Speed
If different time steps are used for fluid and solid solvers, then each solver can use optimal time stepping, but synchronization complexity increases and computational cost increases
Solution Approach 1:
The patent implements a unified time stepping mechanism where both the fluid solver and solid solver use the same time step. This eliminates the need for complex synchronization protocols between separate solvers, reducing computational overhead while maintaining numerical stability in the coupled fluid-solid system.
Data Source
AI summary
Computer implemented methods include providing a numerical simulation solid mesh comprising a plurality of solid nodes and a numerical simulation fluid mesh comprising a plurality of fluid nodes, and performing a numerical simulation with the solid mesh and fluid mesh including: determining a fluid-solid interaction between the fluid mesh and the solid mesh at a time step by (i) immersing boundaries of the solid and fluid meshes, (ii) computing current corrected fluid and solid velocities using an interaction parameter applied to an intermediate fluid-solid relative velocity, and (iii) computing a fluid-solid interaction force based on the current corrected fluid and solid velocities.