Discrete Ray-Set Field Modeling for Fast 3D Particle Transport
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Solution Overview
Problem
Existing computational methods for simulating particle and radiation transport are inefficient, failing to provide accurate and timely results due to their inability to reduce large sets of rays to simple scalar multipliers, extend local systems, and handle complex multi-collision finite elements, and lack generality across various forms of radiating particles.
Innovation Solution
The approach involves using discrete particle values within finite elements, creating accurate invariants for embedding in three-dimensional problems, and employing integration kernels and interaction models to simulate particle transport efficiently, allowing for real-time computation and accurate modeling of complex systems.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If Monte Carlo or stochastic methods are used to determine particle transport in three dimensions, then measurement precision is improved, but productivity deteriorates due to extremely long computation times
Solution Approach 1:
The computational domain is divided into discrete finite elements, and the particle transport problem is segmented into multiple collision events. Each collision event is handled separately through systematic algebraic equations, allowing the complex 3D transport problem to be broken down into manageable computational steps that can be solved efficiently
Solution Approach 2:
The patent replaces the stochastic Monte Carlo mechanical simulation system with a deterministic algebraic system. By formulating the particle transport problem as a system of algebraic equations based on collision events and path lengths, the method eliminates the need for random sampling while maintaining accuracy, thereby dramatically improving computation speed
2Ease of operation
If conventional ray-tracing methods are used for intensity modulated radiation therapy treatment planning, then ease of operation is improved, but manufacturing precision deteriorates due to inability to accurately determine depth dose distributions for complex beam shapes
Solution Approach 1:
The patent pre-calculates transport multipliers for all possible ray paths through the medium before actual treatment planning. These pre-computed multipliers are stored and reused during treatment planning, eliminating the need for repeated complex calculations while ensuring accurate depth dose distributions for any beam configuration
Solution Approach 2:
The method transforms the complex ray-tracing problem into a parameter-based algebraic system. By expressing particle transport in terms of path lengths, collision probabilities, and transport multipliers, the system can accurately handle complex beam shapes and modulations while maintaining computational efficiency and ease of operation
3Ease of operation
If discrete transfer method is used to model thermal radiation, then ease of operation is improved, but measurement precision deteriorates due to inaccuracy in extending ray solutions beyond one dimension
Solution Approach 1:
The patent extends the discrete transfer method from one-dimensional to three-dimensional space by systematically incorporating spatial coordinates and directional vectors into the algebraic formulation. The method uses finite element discretization in three dimensions while maintaining the simplicity of ray-based transfer, achieving both ease of operation and three-dimensional accuracy
Data Source
AI summary
The present system and method for simulating particles and waves is useful for calculations involving nuclear and full spectrum radiation transport, quantum particle transport, plasma transport and charged particle transport. The invention provides a mechanism for creating accurate invariants for embedding in general three-dimensional problems and describes means by which a series of simple single collision interaction finite elements can be extended to formulate a complex multi-collision finite element.