Simulation device, simulation method, and program

A simulation method of analyzing behavior of a granular material that includes a plurality of particles, the simulation method comprising steps:

• acquiring a first parameter including a parameter relating to the granular material,
• obtaining a second parameter relating to a single particle model, the single particle model being a conceptual representation in which the plurality of particles arranged in a cube are regarded as a single particle,
• simulating a behavior of the single particle model based on the first parameter and the second parameter to produce a simulation result of the behavior of the single particle model,
• analyzing the behavior of the granular material in a reaction furnace using the simulation result of the behavior of the single particle model to produce an analysis result of the behavior of the granular material, and
• supplying, based on the analysis result of the behavior of the granular material, the granular material from a granular supply device to the reaction furnace,
• wherein the obtaining step comprises:
• calculating a first elastic energy of a particle group from forces exerted on the plurality of particles when the particle group collides with a certain surface, the particle group being the plurality of particles arranged in the cube,
• calculating a second elastic energy of the single particle model from a force exerted on the single particle model when the single particle model collides with the certain surface,
• deriving an equation that demonstrates an equivalence of the calculated first and second elastic energies,
• establishing a characteristic equation for the second parameter from the derived equation based on an assumption that a center of gravity of the particle group coincides with that of the single particle model, and
• obtaining the second parameter by solving the characteristic equation.

A simulation device for analyzing behavior of a granular material that includes a plurality of particles, the simulation device comprising:

• a processor;
• and
• a memory storing program instructions that cause the processor to:
• acquire a first parameter including a parameter relating to the granular material,
• obtain a second parameter relating to a single particle model, the single particle model being a conceptual representation in which the plurality of particles arranged in a cube are regarded as a single particle,
• simulate a behavior of the single particle model based on the first parameter and the second parameter to produce a simulation result of the behavior of the single particle model,
• analyze the behavior of the granular material in a reaction furnace using the simulation result of the behavior of the single particle model to produce an analysis result of the behavior of the granular material, and
• supply, based on the analysis result of the behavior of the granular material, the granular material from a granular supply device to the reaction furnace,
• wherein, in the obtaining the second parameter, the program instructions stored in the memory further cause the processor to:
• calculate a first elastic energy of a particle group from forces exerted on the plurality of particles when the particle group collides with a certain surface, the particle group being the plurality of particles arranged in the cube,
• calculate a second elastic energy of the single particle model from a force exerted on the single particle model when the single particle model collides with the certain surface,
• derive an equation that demonstrates an equivalence of the calculated first and second elastic energies,
• establish a characteristic equation for the second parameter from the derived equation based on an assumption that a center of gravity, an angular momentum, and a rotational energy of the particle group and the single particle model are coincide, and
• obtain the second parameter by solving the characteristic equation.

A simulation method of analyzing behavior of a granular material that includes a plurality of particles, the simulation method comprising:

• acquiring a first parameter including a parameter relating to the granular material,
• obtaining a second parameter relating to a single particle model, the single particle model being a conceptual representation in which the plurality of particles arranged in a cube are regarded as a single particle,
• simulating a behavior of the single particle model based on the first parameter and the second parameter to produce a simulation result of the behavior of the single particle model,
• analyzing the behavior of the granular material in a reaction furnace using the simulation result of the behavior of the single particle model to produce an analysis result of the behavior of the granular material, and
• supplying, based on the analysis result of the behavior of the granular material, the granular material from a granular supply device to the reaction furnace,
• wherein the obtaining step comprises:
• calculating a first elastic energy of a particle group from forces exerted on the plurality of particles when the particle group collides with a certain surface, the particle group being the plurality of particles arranged in the cube,
• calculating a second elastic energy of the single particle model from a force exerted on the single particle model when the single particle model collides with the certain surface,
• deriving an equation that demonstrates an equivalence of the calculated first and second elastic energies,
• establishing a characteristic equation for the second parameter from the derived equation based on an assumption that a center of gravity, an angular momentum, and a rotational energy of the particle group and the single particle model are coincide, and
• obtaining the second parameter by solving the characteristic equation.