Lattice Boltzmann based solver for high speed flows

A computing system configured to simulate fluid flow, the computing system comprising:

• one or more processor devices;
• memory operatively coupled to the one or more processor devices, the memory storing computing instructions to cause the one or more processor devices to:
• receive a model of a simulation space including a mesh represented as a plurality of mesh locations that represents a physical object in the simulation space, with the plurality of mesh locations having appropriate resolutions to account for surfaces of the physical object within the simulation space;
• simulate activity of a fluid across the mesh, the activity of the fluid being simulated so as to model collisions of particles of the fluid flow across the mesh;
• store, in the memory, a set of state vectors for each mesh location in the mesh, each of the state vectors comprising a plurality of entries that correspond to particular momentum states of possible momentum states at a corresponding mesh location;
• simulate a time evolution of entropy of the fluid flow by instructions to:
• collect by a collision operator incoming set of distributions from mesh locations in the mesh from a collision operation;
• collect an additional set of lattice vectors that represent entropy;
• calculate by the computer the entropy values in each mesh location in the mesh;
• compute an additional heat source that is added to the additional set of lattice vectors;
• determine outgoing distributions as a product of the collision operation and the additional heat source;
• calculate an effect of heating by fluid viscosity and heating by fluid conduction;
• calculate entropy diffusion;
• remove the calculated entropy diffusion from the additional heat source;
• and
• modify the fluid flow by the computer performing for a time interval, an advection of the particles and entropy to subsequent mesh locations,
• wherein simulating activity of the fluid and simulating the time evolution of entropy are executed in parallel to improve stability of the simulating.

A computer program product tangibly stored on a non-transitory hardware storage device, the computer program product including executable instructions to configure a computing system to:

• receive a model of a simulation space including a mesh represented as a plurality of mesh locations that represents a physical object in the simulation space, with the plurality of mesh locations having appropriate resolutions to account for surfaces of the physical object within the simulation space;
• simulate activity of a fluid flow across the mesh, the activity of the fluid flow being simulated so as to model collisions of particles of the fluid flow;
• store, in the memory, a set of state vectors for each mesh location in the mesh, each of the state vectors comprising a plurality of entries that correspond to particular momentum states of possible momentum states at a corresponding mesh location;
• simulate a time evolution of entropy of the fluid flow by instructions to:
• collect by a collision operator incoming set of distributions from neighboring mesh locations in the mesh from a collision operation;
• collect an additional set of lattice vectors that represent entropy;
• calculate the entropy values in each mesh location in the mesh;
• compute an additional heat source that is added to the additional set of lattice vectors;
• determine outgoing distributions as a product of the collision operation and the additional heat source;
• calculate an effect of heating by fluid viscosity and heating by fluid conduction;
• calculate entropy diffusion;
• remove the calculated entropy diffusion from the additional heat source;
• and
• modify the fluid flow by performing for a time interval, an advection of the particles and entropy to subsequent mesh locations,
• wherein simulating activity of the fluid and simulating the time evolution of entropy are executed in parallel to improve stability of the simulating.