FEAScript-core/src/visualization/plotlyPlot.js at main · FEAScript/FEAScript-core · GitHub

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/**

* ════════════════════════════════════════════════════════════════

* FEAScript Core Library

* Lightweight Finite Element Simulation in JavaScript

* Version: 0.3.0 (RC) | https://feascript.com

* ════════════════════════════════════════════════════════════════

// Internal imports

import {

prepareMesh,

pointInsideQuadrilateral,

computeNodeNeighbors,

getBoundarySegments,

} from "../mesh/meshUtils.js";

import { BasisFunctions } from "../mesh/basisFunctions.js";

import { basicLog, debugLog, errorLog } from "../utilities/logging.js";

/**

* Function to create plots of the solution vector

* @param {object} result - Object containing solution vector and mesh information

* @param {object} model - Object containing model properties

* @param {string} plotType - The type of plot

* @param {string} plotDivId - The id of the div where the plot will be rendered

export function plotSolution(model, result, plotType, plotDivId) {

console.time("plottingTime");

const { nodesXCoordinates, nodesYCoordinates } = result.nodesCoordinates;

const solutionVector = result.solutionVector;

const solverConfig = model.solverConfig;

const meshDimension = model.meshConfig.meshDimension;

const meshData = prepareMesh(model.meshConfig); // Retrieve mesh connectivity details (used in splitQuadrilateral)

if (meshDimension === "1D" && plotType === "line") {

// Check if solutionVector is a nested array

let yData;

if (solutionVector.length > 0 && Array.isArray(solutionVector[0])) {

yData = solutionVector.map((arr) => arr[0]);

} else {

yData = solutionVector;

}

let xData = Array.from(nodesXCoordinates);

let lineData = {

x: nodesXCoordinates,

y: yData,

mode: "lines",

type: "scatter",

line: { color: "rgb(219, 64, 82)", width: 2 },

};

let maxWindowWidth = Math.min(window.innerWidth, 700);

let plotWidth = Math.min(maxWindowWidth, 600);

let plotHeight = 300;

let layout = {

title: `line plot - ${solverConfig}`,

width: plotWidth,

height: plotHeight,

xaxis: { title: "x" },

yaxis: { title: "Solution" },

margin: { l: 50, r: 50, t: 50, b: 50 },

};

Plotly.newPlot(plotDivId, [lineData], layout, { responsive: true });

console.timeEnd("plottingTime");

} else if (meshDimension === "2D" && plotType === "contour") {

// Check if solutionVector is a nested array

let zData;

if (Array.isArray(solutionVector[0])) {

zData = solutionVector.map((val) => val[0]);

} else {

zData = solutionVector;

}

// Plot sizing parameters

let maxWindowWidth = Math.min(window.innerWidth, 700);

let minX = Math.min(...nodesXCoordinates);

let maxX = Math.max(...nodesXCoordinates);

let minY = Math.min(...nodesYCoordinates);

let maxY = Math.max(...nodesYCoordinates);

let lengthX = maxX - minX;

let lengthY = maxY - minY;

let aspectRatio = lengthY / lengthX;

let plotWidth = Math.min(maxWindowWidth, 600);

let plotHeight = plotWidth * aspectRatio;

// Layout properties

let layout = {

title: `${plotType} plot - ${solverConfig}`,

width: plotWidth,

height: plotHeight,

xaxis: { title: "x" },

yaxis: {

title: "y",

scaleanchor: "x",

scaleratio: 1,

margin: { l: 50, r: 50, t: 50, b: 50 },

hovermode: "closest",

};

// Create the plot

let contourData = {

x: nodesXCoordinates,

y: nodesYCoordinates,

z: zData,

type: "contour",

line: {

smoothing: 0.85,

contours: {

coloring: "heatmap",

showlabels: false,

//colorscale: 'Viridis',

colorbar: {

title: "Solution",

};

Plotly.newPlot(plotDivId, [contourData], layout, { responsive: true });

console.timeEnd("plottingTime");

}

/**

* Function to generate a dense visualization grid and interpolate the FEM solution on it

* @param {object} result - Object containing solution vector and mesh information

* @param {object} model - Object containing model properties

* @param {string} plotType - The type of plot

* @param {string} plotDivId - The id of the div where the plot will be rendered

export function plotInterpolatedSolution(model, result, plotType, plotDivId) {

console.time("plottingTime");

const { nodesXCoordinates, nodesYCoordinates } = result.nodesCoordinates; // TODO: Check if we should place it inside the 2D block

const meshDimension = model.meshConfig.meshDimension;

const meshData = prepareMesh(model.meshConfig); // Retrieve mesh connectivity details

// Initialize BasisFunctions once here to avoid creating it inside the loop

const basisFunctions = new BasisFunctions({

meshDimension: model.meshConfig.meshDimension,

elementOrder: model.meshConfig.elementOrder,

});

if (meshDimension === "1D" && plotType === "line") {

// 1D plot region

} else if (meshDimension === "2D" && plotType === "contour") {

const visNodeXCoordinates = [];

const visNodeYCoordinates = [];

const lengthX = Math.max(...nodesXCoordinates) - Math.min(...nodesXCoordinates);

const lengthY = Math.max(...nodesYCoordinates) - Math.min(...nodesYCoordinates);

const visPoinsPerUnit = 50; // Number of nodes per one length unit of the visualization grid

const visNodesX = Math.round(lengthX * visPoinsPerUnit); // Number of nodes along the x-axis of the visualization grid

const visNodesY = Math.round(lengthY * visPoinsPerUnit); // Number of nodes along the y-axis of the visualization grid

const deltavisX = lengthX / (visNodesX - 1);

const deltavisY = lengthY / (visNodesY - 1);

let visSolution = [];

visNodeXCoordinates[0] = Math.min(...nodesXCoordinates);

visNodeYCoordinates[0] = Math.min(...nodesYCoordinates);

for (let visNodeIndexY = 1; visNodeIndexY < visNodesY; visNodeIndexY++) {

visNodeXCoordinates[visNodeIndexY] = visNodeXCoordinates[0];

visNodeYCoordinates[visNodeIndexY] = visNodeYCoordinates[0] + visNodeIndexY * deltavisY;

}

for (let visNodeIndexX = 1; visNodeIndexX < visNodesX; visNodeIndexX++) {

const nnode = visNodeIndexX * visNodesY;

visNodeXCoordinates[nnode] = visNodeXCoordinates[0] + visNodeIndexX * deltavisX;

visNodeYCoordinates[nnode] = visNodeYCoordinates[0];

for (let visNodeIndexY = 1; visNodeIndexY < visNodesY; visNodeIndexY++) {

visNodeXCoordinates[nnode + visNodeIndexY] = visNodeXCoordinates[nnode];

visNodeYCoordinates[nnode + visNodeIndexY] = visNodeYCoordinates[nnode] + visNodeIndexY * deltavisY;

}

const visNodeCoordinates = { visNodeXCoordinates, visNodeYCoordinates };

// Initialize visSolution with null for all visualization nodes

visSolution = new Array(visNodesX * visNodesY).fill(null);

// Get boundary segments for ray casting

const boundarySegments = getBoundarySegments(meshData);

// Perform adjacency-based search to find which element contains a given point (quick search)

const { nodeNeighbors, neighborCount } = computeNodeNeighbors(meshData);

let lastParentElement = 0;

for (let visNodeIndex = 0; visNodeIndex < visNodesX * visNodesY; visNodeIndex++) {

// Ray casting check

if (

!pointInsidePolygon(

visNodeXCoordinates[visNodeIndex],

visNodeYCoordinates[visNodeIndex],

boundarySegments,

)

) {

continue;

}

let found = false;

for (

let localNodeIndex = 0;

localNodeIndex < meshData.nop[lastParentElement].length;

localNodeIndex++

) {

let globalNodeIndex = meshData.nop[lastParentElement][localNodeIndex] - 1;

for (

let neighborElementsIndex = 0;

neighborElementsIndex < neighborCount[globalNodeIndex];

neighborElementsIndex++

) {

let currentElement = nodeNeighbors[globalNodeIndex][neighborElementsIndex];

const searchResult = pointSearch(

model,

meshData,

result,

currentElement,

visNodeXCoordinates[visNodeIndex],

visNodeYCoordinates[visNodeIndex],

basisFunctions,

);

if (searchResult.inside) {

lastParentElement = currentElement;

visSolution[visNodeIndex] = searchResult.value;

found = true;

break;

}

if (found) break;

}

// Scan all elements to find which element contains a given point (slow search)

if (!found) {

for (let currentElement = 0; currentElement < meshData.nop.length; currentElement++) {

const searchResult = pointSearch(

model,

meshData,

result,

currentElement,

visNodeXCoordinates[visNodeIndex],

visNodeYCoordinates[visNodeIndex],

basisFunctions,

);

if (searchResult.inside) {

lastParentElement = currentElement;

visSolution[visNodeIndex] = searchResult.value;

found = true;

break;

}

// Plot sizing parameters

let maxWindowWidth = Math.min(window.innerWidth, 700);

let aspectRatio = lengthY / lengthX;

let plotWidth = Math.min(maxWindowWidth, 600);

let plotHeight = plotWidth * aspectRatio;

// Layout properties

let layout = {

title: `${plotType} plot (interpolated) - ${model.solverConfig}`,

width: plotWidth,

height: plotHeight,

xaxis: { title: "x" },

yaxis: {

title: "y",

scaleanchor: "x",

scaleratio: 1,

margin: { l: 50, r: 50, t: 50, b: 50 },

hovermode: "closest",

};

// Create the plot

let contourData = {

x: visNodeXCoordinates,

y: visNodeYCoordinates,

z: visSolution,

type: "contour",

connectgaps: false,

hoverongaps: false,

line: {

smoothing: 0.85,

contours: {

coloring: "heatmap",

showlabels: false,

//colorscale: 'Viridis',

colorbar: {

title: "Solution",

};

Plotly.newPlot(plotDivId, [contourData], layout, { responsive: true });

console.timeEnd("plottingTime");

}

/**

* Function to search if a point is inside an element and interpolate the solution

* @param {object} model - Object containing model properties

* @param {object} meshData - Object containing mesh data

* @param {object} result - Object containing solution vector and mesh information

* @param {number} currentElement - Index of the element to check

* @param {number} visNodeXCoordinate - X-coordinate of the point

* @param {number} visNodeYCoordinate - Y-coordinate of the point

* @param {object} basisFunctions - Instance of BasisFunctions class

* @returns {object} Object containing inside boolean and interpolated value

function pointSearch(

model,

meshData,

result,

currentElement,

visNodeXCoordinate,

visNodeYCoordinate,

basisFunctions,

) {

const { nodesXCoordinates, nodesYCoordinates } = result.nodesCoordinates;

const nodesPerElement = meshData.nop[currentElement].length;

if (nodesPerElement === 4) {

// Linear quadrilateral element

let vertices = [

[

nodesXCoordinates[meshData.nop[currentElement][0] - 1],

nodesYCoordinates[meshData.nop[currentElement][0] - 1],

[

nodesXCoordinates[meshData.nop[currentElement][1] - 1],

nodesYCoordinates[meshData.nop[currentElement][1] - 1],

[

nodesXCoordinates[meshData.nop[currentElement][2] - 1],

nodesYCoordinates[meshData.nop[currentElement][2] - 1],

[

nodesXCoordinates[meshData.nop[currentElement][3] - 1],

nodesYCoordinates[meshData.nop[currentElement][3] - 1],

];

const pointCheck = pointInsideQuadrilateral(visNodeXCoordinate, visNodeYCoordinate, vertices);

if (pointCheck.inside) {

return {

inside: true,

value: solutionInterpolation(

model,

meshData,

result,

currentElement,

pointCheck.ksi,

pointCheck.eta,

basisFunctions,

};

}

} else if (nodesPerElement === 9) {

// Quadratic quadrilateral element

let vertices = [

[

nodesXCoordinates[meshData.nop[currentElement][0] - 1],

nodesYCoordinates[meshData.nop[currentElement][0] - 1],

[

nodesXCoordinates[meshData.nop[currentElement][2] - 1],

nodesYCoordinates[meshData.nop[currentElement][2] - 1],

[

nodesXCoordinates[meshData.nop[currentElement][6] - 1],

nodesYCoordinates[meshData.nop[currentElement][6] - 1],

[

nodesXCoordinates[meshData.nop[currentElement][8] - 1],

nodesYCoordinates[meshData.nop[currentElement][8] - 1],

];

const pointCheck = pointInsideQuadrilateral(visNodeXCoordinate, visNodeYCoordinate, vertices);

if (pointCheck.inside) {

return {

inside: true,

value: solutionInterpolation(

model,

meshData,

result,

currentElement,

pointCheck.ksi,

pointCheck.eta,

basisFunctions,

};

}

} // TODO: Add also triangular element cases

return { inside: false, value: null };

}

/**

* Function to interpolate the solution at a specific point (ksi, eta) within an element

* @param {object} model - Object containing model properties

* @param {object} meshData - Object containing mesh data

* @param {object} result - Object containing solution vector and mesh information

* @param {number} elementIndex - Index of the element containing the point

* @param {number} ksi - First natural coordinate (ksi)

* @param {number} eta - Second natural coordinate (eta)

* @param {object} basisFunctions - Instance of BasisFunctions class

* @returns {number} Interpolated solution value

function solutionInterpolation(model, meshData, result, elementIndex, ksi, eta, basisFunctions) {

// Initialize FEA components

const solutionVector = result.solutionVector;

const nodesPerElement = meshData.nop[elementIndex].length;

// Get basis functions for the current point

const basisFunctionsAndDerivatives = basisFunctions.getBasisFunctions(ksi, eta);

let basisFunction = basisFunctionsAndDerivatives.basisFunction;

// Check if solutionVector is a nested array

let zData;

if (Array.isArray(solutionVector[0])) {

zData = solutionVector.map((val) => val[0]);

} else {

zData = solutionVector;

}

// Interpolate solution

let solutionInterpolationValue = 0;

for (let localNodeIndex = 0; localNodeIndex < nodesPerElement; localNodeIndex++) {

solutionInterpolationValue +=

zData[meshData.nop[elementIndex][localNodeIndex] - 1] * basisFunction[localNodeIndex];

}

return solutionInterpolationValue;

}

/**

* Function to check if a point is inside a polygon using ray casting algorithm

* @param {number} x - X-coordinate of the point

* @param {number} y - Y-coordinate of the point

* @param {array} segments - Array of boundary segments

* @returns {boolean} True if the point is inside the polygon

function pointInsidePolygon(x, y, segments) {

let inside = false;

for (let i = 0; i < segments.length; i++) {

const [[x1, y1], [x2, y2]] = segments[i];

const intersect = y1 > y !== y2 > y && x < ((x2 - x1) * (y - y1)) / (y2 - y1) + x1;

if (intersect) inside = !inside;

}

return inside;

}

FEAScript-core/src/visualization/plotlyPlot.js at main · FEAScript/FEAScript-core · GitHub

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FEAScript-core/src/visualization/plotlyPlot.js at main · FEAScript/FEAScript-core · GitHub

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