Ladle Temperature Simulation Using Finite Volume Grid Decomposition

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Solution Overview

Problem

Conventional numerical models for simulating temperature distributions within ladles in metallurgical plants require excessive computing power, making real-time predictions impossible during operations.

Innovation Solution

A method using the finite volume method with predetermined boundary conditions and grid cell decomposition, combined with Computational Fluid Dynamics (CFD) for simulating unsteady temperature distributions, significantly reduces computing effort, enabling real-time numerical simulations of temperature profiles and process optimization.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If conventional numerical models with full flow simulation are used, then simulation accuracy is improved, but computing power requirements increase excessively

Engineering Contradiction:
Improvetemperature distribution simulation accuracyVSAvoidcomputing power requirement
Core Design Contradiction:
Measurement precisionVSPower

Solution Approach 1:

The system segments the simulation domain into discrete grid cells and divides the computational task into manageable units. Each grid cell represents a small control volume where temperature and heat transfer calculations are performed independently, allowing parallel processing and reducing overall computational burden while maintaining accuracy.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The invention changes the computational parameters by using a finite volume method with predetermined boundary conditions instead of full Navier-Stokes flow simulation. This parameter change simplifies the governing equations from complex fluid dynamics to heat transfer dominance, significantly reducing computing power requirements while preserving temperature distribution accuracy.

Inventive Principle:
Principle #35Parameter changes

2Measurement precision

If conventional numerical models are used, then detailed temperature profiles are obtained, but real-time simulation during operation becomes impossible

Engineering Contradiction:
Improvetemperature distribution detailVSAvoidsimulation speed
Core Design Contradiction:
Measurement precisionVSProductivity

Solution Approach 1:

The system performs preliminary action by pre-defining boundary conditions and grid cell configurations before actual simulation runs. This preparation work is done once and reused across multiple simulations, eliminating the need to re-establish complex flow fields for each new simulation, thus enabling real-time operation during steelworks processes.

Inventive Principle:
Principle #10Preliminary action

Solution Approach 2:

The invention changes simulation parameters from transient full-flow coupling to steady-state or simplified transient heat conduction with predetermined boundaries. This parameter transformation reduces computational complexity from O(N³) to O(N) or O(N²), enabling real-time temperature profile generation during actual metallurgical operations.

Inventive Principle:
Principle #35Parameter changes

3Productivity

If finite volume method with grid cell decomposition is used, then computing effort is reduced, but model simplicity may compromise accuracy

Engineering Contradiction:
Improvecomputational efficiencyVSAvoidtemperature distribution accuracy
Core Design Contradiction:
ProductivityVSMeasurement precision

Solution Approach 1:

The system applies local quality by using non-uniform grid cell decomposition where finer grid resolution is applied in regions of high temperature gradient (such as near the meniscus and ladle walls) while coarser grids are used in homogeneous regions. This localized refinement maintains accuracy in critical areas while reducing overall computational effort.

Inventive Principle:
Principle #3Local quality

Solution Approach 2:

The invention incorporates feedback mechanisms where simulation results are continuously compared against measured temperature data from thermocouples or other sensors. Boundary conditions and model parameters are adjusted based on this feedback to maintain accuracy, ensuring that the simplified finite volume model remains faithful to actual physical conditions.

Inventive Principle:
Principle #23Feedback

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

Enables precise real-time predictions of temperature distributions and process reliability, allowing for optimized process planning and reduced computational resources, facilitating online and offline simulations for metallurgical plant operations.

Implementation Method 1

numerical simulation of unsteady temperature distributions within the ladles of a metallurgical plant and within the molten metal contained in the ladles

Methodology Applied
Scientific EffectHeat transfer: Conduction (thermal)

Implementation Method 2

convective flows within a molten metal contained in a ladle can be numerically simulated and predicted using Computational Fluid Dynamics (CFD)

Methodology Applied
Scientific EffectConvection: Convection

Data Source

PatentEP3026586B1Simulation of the temperature distributions within the ladles of a smeltery and metal melt contained within the ladles
Publication Date: 2019.04.10 SMS GROUP GMBH
  • EP3026586B1 patent drawingFigure 1~2

AI summary

The invention relates to a method for simulating temperature distributions within ladles (1, ..., n) of a steelworks and within the molten metal contained in the ladles. To provide a novel simulation of temperature distributions within ladles of a steelworks and within the molten metal contained in the ladles, which enables accurate predictions of these temperature distributions, the invention proposes that a temperature distribution for each ladle and the molten metal contained therein be numerically simulated using a finite volume method and predetermined boundary conditions. For this purpose, the respective ladle, the molten metal contained therein, and an environment of predetermined size surrounding the ladle are at least partially decomposed into a finite number of grid cells.