Osmosis Force

Osmosis Force

extends Force

implements N/A

Introduction

Osmosis Force is a component which inherits from Force and applies an osmosis force to a group of edges assigned to it, derived from all edges making up a single mesh.

Fields

Accessibility	Type	Field Name	Description
public	List(Edge)	edges	Edges over which force will be applied
public	float	constant	osmosis constant
public	float	initialArea	initial area of the mesh

Methods

Accessibility	Return Type	Method Name	Description
public	void	setConstant	sets the value for constant
public	void	setTargetLengthRatio	sets the value for targetLengthRatio
public	Vector	calculateOsmosisForceMagnitude	calculates osmosis force
public	void	restore	applies osmosis force to all edges

Physics/ Mathematics

2D Hooke's law derivation

Our osmosis force is very similar to spring forces, using very similar equations to Hooke's law, denoted as:

F = -k(l - l₀)

Where F is the force applied by the spring, k is the spring's stiffness constant, l is the current length of the spring and l₀ is the resting length of the spring. For the osmosis force, we use a 2D version of this equation, so that

F = -k(a - a₀ Where a and *a₀ are area and initial area, respectively.

Due to the fact that everything is in 2 dimensions (and thus units are in length² as opposed to length, the constant for the osmosis force is much smaller than that of "normal" spring forces, typically by a factor of 100-1000.