Face-Centered Cubic Subgrids for Lower-Memory Electromagnetic Simulation

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Solution Overview

Problem

Conventional electromagnetic field simulation methods using Cartesian and face-centered cubic grids face inefficiencies due to high moment consumption and memory occupation when fine grid partitioning is required, leading to slower calculation speeds and complex processing of different coal quality boundaries.

Innovation Solution

An electromagnetic field simulation method utilizing face-centered cubic grids combined with subgrids, employing periodic boundary conditions and metal plates, and incorporating a novel updating equation to optimize grid partitioning and reduce moment consumption and memory usage.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If fine grid partitioning is used to improve simulation accuracy, then measurement precision is improved, but moment consumption and memory occupation increase significantly

Engineering Contradiction:

Improvesimulation accuracyVSAvoidmoment consumption and memory occupation

Core Design Contradiction:

Measurement precisionVSQuantity of substance

Solution Approach 1:

The simulation domain is divided into multiple subgrids with different grid densities. Fine grids are applied only to regions requiring high precision, while coarse grids are used in other areas, thereby segmenting the computational workload to reduce overall moment consumption and memory occupation while maintaining simulation accuracy where needed.

Inventive Principle:

Principle #1Segmentation

Solution Approach 2:

Different grid partition densities are assigned to different spatial regions based on local requirements. Regions with complex structures or high interest receive fine grid partitioning for accurate simulation, while uniform regions use coarse grids to reduce computational burden, optimizing the balance between accuracy and resource consumption locally.

Inventive Principle:

Principle #3Local quality

2Measurement precision

If fine grid partitioning is used to improve simulation accuracy, then measurement precision is improved, but calculation speed decreases

Engineering Contradiction:

Improvesimulation accuracyVSAvoidcalculation speed

Core Design Contradiction:

Measurement precisionVSProductivity

Solution Approach 1:

The computational domain is segmented into subgrids with varying resolutions. By concentrating fine grids only in critical regions and using coarse grids elsewhere, the total number of grid points is reduced, which directly improves calculation speed while preserving simulation accuracy in important areas.

Inventive Principle:

Principle #1Segmentation

3Ease of operation

If conventional Cartesian grid is used, then ease of operation is maintained, but manufacturing precision deteriorates for fine model structures

Engineering Contradiction:

Improvegrid implementation simplicityVSAvoidsimulation precision for fine structures

Core Design Contradiction:

Ease of operationVSManufacturing precision

Solution Approach 1:

The Cartesian grid is segmented into multiple subgrids with different partition densities. This allows the system to maintain the simplicity of conventional Cartesian grids in most areas while introducing refined grids locally to improve simulation precision for fine model structures where needed.

Inventive Principle:

Principle #1Segmentation

Data Source

PatentUS20250225293A1Electromagnetic field simulation method based on face-centered cubic and subgrid technique

Publication Date: 2025.07.10 ANHUI UNIV

AI summary

Provided is an electromagnetic field simulation method based on a face-centered cubic and a subgrid, including setting periodic boundary conditions and a metal plate to construct an electromagnetic field simulation model based on the face-centered cubic, FDTD and the subgrid; through the electromagnetic field simulation model, setting the source point in the subgrid region, selecting the detecting point, simulating the electromagnetic field simulated, and obtaining the moment domain waveform diagram of the electric field in the simulation region.