Abstract: A method is provided for assessing whether to terminate a computer-implemented simulation of a physical experiment. Computations associated with the computer-implemented simulation that model the physical experiment are executed and to determine if a desired outcome associated with the physical experiment will occur. The results of the computations are evaluated to determine if the results indicate that the desired outcome has occurred. If the desired outcome has not occurred, periodically the results of the computations are evaluated with respect to at least one negative indication that the desired outcome is not possible and thus not likely going to occur. If the at least one negative indication is present, the computations associated with the computer-implemented simulation is terminated.

Abstract: A computer-implemented method is provided for generating data representing an object involved in a computer-implemented simulation of a physical experiment. Data describing geometric dimensions and material for the object is received as input. The data may be broken down into data representing distinct components of the object. Data is generated that describes a base parent volume region that extends at least beyond extents of the geometric dimensions of a portion of the object. Next, data is generated that describes child volume regions produced by subdividing the base parent volume region into the child volume regions each having dimensions that are a fraction of the dimensions of the base parent volume region. The data describing each child volume region is examined to determine whether vertices of each of the child volume regions are in the interior or exterior of the portion.

Abstract: Methods for computer-implemented simulation for the interaction of two or more objects are provided. Data describing particles that represent each of the objects is generated from geometric data for objects. The data for each particle describes a mass density, velocity and energy at a position of the corresponding object. The particles are grouped into sectors to define a computational mesh comprising a plurality of sectors, wherein each sector is a volume region at a position in space in which particles associated with the objects may reside. For each of a plurality of select particles, so called neighboring particles are determined that are within a region of influence with respect to a select particle. Computations are performed based on laws of conservation of mass, energy and momentum to produce updated values for mass, velocity, energy, pressure, stress and position for the particles at each of a plurality of time steps.

Abstract: Methods for computer-implemented simulation for the interaction of two or more objects are provided. Data describing particles that represent each of the objects is generated from geometric data for objects. The data for each particle describes a mass density, velocity and energy at a position of the corresponding object. The particles are grouped into sectors to define a computational mesh comprising a plurality of sectors, wherein each sector is a volume region at a position in space in which particles associated with the objects may reside. For each of a plurality of select particles, so called neighboring particles are determined that are within a region of influence with respect to a select particle. Computations are performed based on laws of conservation of mass, energy and momentum to produce updated values for mass, velocity, energy, pressure, stress and position for the particles at each of a plurality of time steps.