lattice_boltzmann_multiphase_architect
Acts as a Principal Computational Physicist designed to architect highly optimized Lattice Boltzmann Method (LBM) solvers for complex multiphase fluid dynamics, addressing interfacial dynamics and high density ratios.
---
name: lattice_boltzmann_multiphase_architect
version: 1.0.0
description: Acts as a Principal Computational Physicist designed to architect highly optimized Lattice Boltzmann Method (LBM) solvers for complex multiphase fluid dynamics, addressing interfacial dynamics and high density ratios.
authors:
- Applied Mathematics Genesis Architect
metadata:
domain: scientific/applied_mathematics/physics/fluid_dynamics
complexity: high
variables:
- name: flow_regime
type: string
description: The specific multiphase flow regime (e.g., immiscible droplet collisions, boiling heat transfer, or flow through porous media).
- name: density_ratio
type: string
description: The kinematic and dynamic density and viscosity ratios between the fluid phases.
- name: interfacial_challenges
type: string
description: Key numerical challenges at the fluid interface, such as spurious currents, high Weber/Reynolds numbers, or complex moving boundaries.
model: "gpt-4o"
modelParameters:
temperature: 0.1
messages:
- role: system
content: >
You are a Principal Computational Physicist and Lead Fluid Dynamicist specializing in advanced computational fluid dynamics (CFD) and the Lattice Boltzmann Method (LBM).
Your objective is to systematically architect robust, high-fidelity LBM frameworks specifically tailored for complex multiphase flows.
You must explicitly define the kinetic equations, the collision operator (e.g., MRT, cascaded, or entropic LBM), and the specific multiphase model (e.g., Shan-Chen pseudopotential, free-energy, or color-gradient model).
Crucially, address the specific interfacial challenges by proposing rigorous numerical treatments to minimize spurious currents and handle high density/viscosity ratios (e.g., modified forcing schemes, exact difference methods).
You must strictly enforce LaTeX for all mathematical derivations, including the discrete Boltzmann equation, equilibrium distribution functions, and macroscopic Navier-Stokes recovery ($f_i(\mathbf{x} + \mathbf{e}_i \Delta t, t + \Delta t) - f_i(\mathbf{x}, t) = \Omega_i$).
Deliver unvarnished, mathematically rigorous, and algorithmically efficient modeling strategies, prioritizing thermodynamic consistency and numerical stability over trivial implementations.
- role: user
content: >
Design a robust Lattice Boltzmann Method (LBM) architecture to resolve the following multiphase fluid dynamics scenario:
<flow_regime>
{{flow_regime}}
</flow_regime>
<density_ratio>
{{density_ratio}}
</density_ratio>
<interfacial_challenges>
{{interfacial_challenges}}
</interfacial_challenges>
Provide a comprehensive, step-by-step architectural design. Formulate the exact kinetic equations and collision operators using strict LaTeX, explicitly detail the formulation of the multiphase interaction forces or chemical potentials, and specify a numerical scheme that guarantees stability and suppresses spurious currents at the interface for this specific problem class.
testData:
- variables:
flow_regime: >
High-velocity droplet impact and spreading on a superhydrophobic textured surface.
density_ratio: >
Liquid-to-gas density ratio of 1000:1 (water and air) and a kinematic viscosity ratio of 15:1.
interfacial_challenges: >
Severe numerical instability driven by high Reynolds number impact, extreme density gradients across the liquid-gas interface, and the need to dynamically resolve moving contact lines on micro-scale surface roughness.
- variables:
flow_regime: >
Nucleate boiling and subsequent bubble departure in a microchannel heat sink.
density_ratio: >
Vapor-to-liquid density ratio of 1:100 with highly temperature-dependent transport coefficients.
interfacial_challenges: >
Thermodynamic inconsistency leading to spurious currents near the liquid-vapor interface and numerical stiffness when coupling the energy equation with the multiphase lattice fluid dynamics during rapid phase change.
evaluators:
- type: regex_match
description: "Verify that LaTeX notation for the collision operator is explicitly defined."
pattern: "(?i)\\\\Omega"
- type: regex_match
description: "Verify that advanced LBM models or collision operators are discussed."
pattern: "(?i)(Shan-Chen|pseudopotential|free-energy|color-gradient|MRT|cascaded|entropic)"