Pipe centerline refinement improves permanent tube layout quality
Topology-Preserving Multi-Usage Pipe Centerline Refinement under Permanent Tubular Occupancy
Robotics
Summary
When designing fluid pipes in manufactured parts, sharp corners in pipe paths can reduce flow quality and smoothness. The authors study a way to smooth these pipe centerlines while keeping the fixed pipe connections and preventing tubes from overlapping. They propose a new method that balances shared and split junctions along the pipe network to reduce sharp bends and ensure enough space for all pipes. Their approach significantly lowers geometric imperfections on multi-group pipe layouts without changing the original routing topology.
What this means in practice
- •For additive manufacturing engineers: Refine pipe centerlines in 3D printed fluid manifolds to reduce sharp bends and ensure consistent tube spacing.
- •For industrial pipe network designers: Improve geometric quality of routed pipe layouts with multiple usage points without changing existing routing topology.
Authors
Deng Quan
Abstract
Discrete multi-group pipe routers place channels on a grid or coarse graph. The resulting centerlines are topologically feasible but typically contain many axis-aligned corners. For permanently occupied fluid tubes---as in additively manufactured hydraulic manifolds---those corners are undesirable: they degrade geometric fairness and, in practice, flow quality. This technical report studies the downstream geometric stage that starts from a fixed routing topology and a feasible coarse layout, and refines tubular centerlines under permanent clearance. Unlike classical robotic path smoothing, which usually fair one temporary open trajectory, our setting is a branched manifold with declared terminal usages, finite tube radii, and static cross-group occupancy. We formalize the refinement problem, highlight the multi-usage junction conflict that a single shared branch point cannot resolve, and outline a hybrid trunk-share / junction-split parameterization with soft geometric costs and hard clearance acceptance. On a multi-group suite ($8$ groups $\times$ $8$ terminals, $r{=}2$) with capsule clearance, the refine reaches full hard-accept success, $κr\lesssim 1$, and about a $95\%$ relative drop in the soft objective. Physics-based pressure-drop optimization is intentionally deferred to a later PDE stage; here the objective remains geometric.