How to smooth out the trails of the particles in a p5js simulation

I want to turn this halting, discontinuous trails in the particle on this simulation

enter image description here

to something worth staring at as in this beautiful field flow in here (not my work, but I don’t remember where I got it from).

I have tried different permutations of the code in the accomplished field flow without getting anything remotely close to the smoothness in the transitions that I was aiming for. I suspect I am mishandling the updates or the placement of the black rectangle that seems to circumvent the need for a black background, which would erase the wake of the particles.

const scl = 45;
var cols, rows;
var particles = [];
var flowfield;

function setup() {

    createCanvas(750, 750);
    cols = ceil( width / scl );
    rows = ceil( height / scl );


    flowfield = new Array( cols * rows );

    for (var i = 0; i < 1000; i ++ ) {
        particles[i] = new Particle();
    }
}

function draw() {
    
    translate(height / 2, height / 2); //moves the origin to center
    scale( 1, - 1 ); //flips the y values so y increases "up"

    rect(-width,-height,2*width,2*height);
    for ( var y = 0; y < rows; y ++ ) { 
        for ( var x = 0; x < cols; x ++ ) { 
      
      var index = x + y * cols;

      let vX = x * 2 - cols;
      let vY = y * 2 - rows;
                
     
      var v = createVector( vY, -vX );
      v.normalize();
          
      flowfield[index] = v;
      
      // The following push() / pull() affects only the arrows     
      push();
      translate(x*scl-width/2,y*scl-height/2);

      fill(255);
      stroke(255);
      rotate(v.heading());
      line(0,0,0.5*scl,0);
      let arrowSize = 7;
      translate(0.5*scl - arrowSize, 0);
      triangle(0, arrowSize / 2, 0, -arrowSize / 2, arrowSize, 0);
      pop();
// The preceding push() / pull() affects only the arrows     
    }// Closes inner loop
  }// Closes outer loop to create vectors and index.
  
//This next loop actually creates the desired particles:
    for (var i = 0; i < particles.length; i++) {
    particles[i].follow(flowfield);
    particles[i].update();
    particles[i].edges();
    particles[i].show();
  }
} // End of the function draw

class Particle {

    constructor() {


        // changed startpostion. Since the origin is in the center of the canvas,
        // the x goes from -width/2 to width/2
        // the y goes from -height/2 to height/2
        // i also changed this in this.edges().

        this.pos = createVector( random( - width / 2, width / 2 ),
            random( - height / 2, height / 2 ) );
        this.vel = createVector( 0, 0 );
        this.acc = createVector( 0, 0 );
        this.maxspeed = 4;
        this.steerStrength = 30;
        this.prevPos = this.pos.copy();
        this.size = 2;

    }

    update() {

        this.vel.add( this.acc );
        this.vel.limit( this.maxspeed );
        this.pos.add( this.vel );
        this.acc.mult( 0 );
        fill(255)
        circle( this.pos.x, this.pos.y, this.size );
      

    }

    follow( vectors ) {

        var x = floor( map( this.pos.x, - width / 2, width / 2, 0, cols - 1, true ) );
        var y = floor( map( this.pos.y, - height / 2, height / 2, 0, rows - 1, true ) );
        var index = ( y * cols ) + x;

        var force = vectors[ index ].copy();
        force.mult( this.steerStrength );
        this.applyForce( force );

    }

    applyForce( force ) {

        this.acc.add( force );

    }

    show() {


        noStroke();
        fill(0,5)
        // you can just draw on the position.


        this.updatePrev();


    }

    updatePrev() {

        this.prevPos.x = this.pos.x;
        this.prevPos.y = this.pos.y;

    }

    edges() {

        //clamp between -width/2 and width/2. -height/2 and height/2
        if ( this.pos.x > width / 2 ) {

            this.pos.x = - width / 2;
            this.updatePrev();

        }
        if ( this.pos.x < - width / 2 ) {

            this.pos.x = width / 2;
            this.updatePrev();

        }
        if ( this.pos.y > height / 2 ) {

            this.pos.y = - height / 2;
            this.updatePrev();

        }
        if ( this.pos.y < - height / 2 ) {

            this.pos.y = height / 2;
            this.updatePrev();

        }
    }
}