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    COMPUTER SIMULATION OF PHYSICAL PROCESSES INCLUDING MODELING OF LAMINAR-TO-TURBULENT TRANSITION
    2.
    发明申请
    COMPUTER SIMULATION OF PHYSICAL PROCESSES INCLUDING MODELING OF LAMINAR-TO-TURBULENT TRANSITION 审中-公开
    物理过程的计算机模拟，包括层状转换过程的建模

    公开(公告)号：WO2014077969A1

    公开(公告)日：2014-05-22

    申请号：PCT/US2013/063241

    申请日：2013-10-03

    Applicant: EXA CORPORATION

    Inventor： CHEN, Hudong ,  KOTAPATI, Rupesh ,  ZHANG, Raoyang ,  SHOCK, Richard ,  STAROSELSKY, Ilya ,  LI, Yanbing

    IPC: G06G7/50

    CPC classification number: G06F17/5018 ,  G06F17/11 ,  G06F17/5009 ,  G06F2217/16

    Abstract: A computer-implemented method for simulating fluid flow using a lattice Boltzmann (LB) approach that includes assigning values for the wall shear stress on a per-facet (e.g., per-surfel) basis based on whether the fluid flow is laminar or turbulent is described herein. This description relates to computer simulation of physical processes, such as fluid flow and acoustics. This description also relates to a method for predicting the phenomena of laminar-to-turbulent transition in boundary layers.

    Abstract translation: 一种用计算机实现的使用晶格玻尔兹曼（LB）方法模拟流体流动的方法，其包括基于流体流动是层流还是湍流来为每个面（例如，每冲程）分配壁剪切应力的值 在此描述。 该描述涉及物理过程的计算机模拟，例如流体流动和声学。 该描述还涉及用于预测边界层中层状湍流过渡现象的方法。

    COMPUTER SIMULATION OF PHYSICAL PROCESSES
    4.
    发明申请
    COMPUTER SIMULATION OF PHYSICAL PROCESSES 审中-公开

    公开(公告)号：WO2008021652A3

    公开(公告)日：2008-02-21

    申请号：PCT/US2007/073868

    申请日：2007-07-19

    Applicant: EXA CORPORATION ,  SHAN, Xiaowen ,  CHEN, Hudong ,  ZHANG, Raoyang

    Inventor： SHAN, Xiaowen ,  CHEN, Hudong ,  ZHANG, Raoyang

    IPC: G06G7/48

    Abstract: Simulating a physical process [Fig. 3, item 302] includes storing, in a computer-accessible memory, state vectors for voxels, where the state vectors correspond to a model and include entries that correspond to particular momentum states of possible momentum states at a voxel. Interaction operations are performed on the state vectors. The interaction operations model interactions between elements of different momentum states according to the model. Move operations performed on the state vectors reflect movement of elements t new voxels according to the model [Fig. 3, items 310, 314; Fig. 13, items 1318, 1338, 1340]. The model is adapted to simulate a high-Knudsen number flow that has a Knudsen number greater than O. 1.

    TEMPERATURE COUPLING ALGORITHM FOR HYBRID THERMAL LATTICE BOLTZMANN METHOD
    5.
    发明申请
    TEMPERATURE COUPLING ALGORITHM FOR HYBRID THERMAL LATTICE BOLTZMANN METHOD 审中-公开
    用于混合热分布波尔曼方法的温度耦合算法

    公开(公告)号：WO2015017648A2

    公开(公告)日：2015-02-05

    申请号：PCT/US2014/049129

    申请日：2014-07-31

    Applicant: EXA CORPORATION

    Inventor： GOPALAKRISHNAN, Pradeep ,  ZHANG, Raoyang ,  CHEN, Hudong

    IPC: G06F19/00

    CPC classification number: G06F17/5009 ,  G06F17/10 ,  G06F17/5018 ,  G06F2217/16

    Abstract: A method includes simulating, in a lattice velocity set, transport of particles in a volume of fluid, with the transport causing collision among the particles; and generating a distribution function for transport of the particles, wherein the distribution function comprises a thermodynamic step and a particle collision step, and wherein the thermodynamic step is substantially independent of and separate from the particle collision step.

    Abstract translation: 一种方法包括在晶格速度集中模拟颗粒在一定体积流体中的传输，导致颗粒之间的碰撞; 以及产生用于颗粒运输的分布函数，其中所述分布函数包括热力学步骤和颗粒碰撞步骤，并且其中所述热力学步骤基本上与颗粒碰撞步骤无关并与颗粒碰撞步骤分离。

    LATTICE BOLTZMANN COLLISION OPERATORS ENFORCING ISOTROPY AND GALILEAN INVARIANCE
    6.
    发明申请
    LATTICE BOLTZMANN COLLISION OPERATORS ENFORCING ISOTROPY AND GALILEAN INVARIANCE 审中-公开
    LATTICE BOLTZMANN碰撞操作员执行等级和加拉米兰的不变性

    公开(公告)号：WO2015013507A1

    公开(公告)日：2015-01-29

    申请号：PCT/US2014/048004

    申请日：2014-07-24

    Applicant: EXA CORPORATION

    Inventor： CHEN, Hudong ,  ZHANG, Raoyang ,  GOPALAKRISHNAN, Pradeep

    IPC: G06F17/50

    CPC classification number: G06F17/5018 ,  G06F17/11 ,  G06F17/18 ,  G06F17/5009 ,  G06F2217/16

    Abstract: A method comprising: simulating, in a lattice velocity set, movement of particles in a volume of fluid, with the movement causing collision among the particles; based on the simulated movement, determining relative particle velocity of a particle at a particular location within the volume, with the relative particle velocity being a difference between (i) an absolute velocity of the particle at the particular location within the volume and measured under zero flow of the volume, and (ii) a mean velocity of one or more of the particles at the particular location within the volume; and determining, based on the relative particle velocity, a non-equilibrium post-collide distribution function of a specified order that is representative of the collision.

    Abstract translation: 一种方法，包括：以晶格速度集合模拟颗粒在一定体积流体中的运动，所述运动引起颗粒之间的碰撞; 基于模拟运动，确定体积内特定位置处的颗粒的相对颗粒速度，其中相对颗粒速度是（i）在体积内的特定位置处的颗粒的绝对速度和在零下测量的 体积的流动，和（ii）体积内特定位置处的一个或多个颗粒的平均速度; 并且基于所述相对粒子速度确定代表所述碰撞的指定顺序的非平衡冲突后分布函数。

    COMPUTER SYSTEM FOR SIMULATING PHYSICAL PROCESSES
    7.
    发明申请
    COMPUTER SYSTEM FOR SIMULATING PHYSICAL PROCESSES 审中-公开
    用于模拟物理过程的计算机系统

    公开(公告)号：WO1997021195A1

    公开(公告)日：1997-06-12

    申请号：PCT/US1996018452

    申请日：1996-11-15

    Applicant: EXA CORPORATION

    Inventor： EXA CORPORATION ,  CHEN, Hudong ,  HILL, David, Lawrence ,  HOCH, James ,  MOLVIG, Kim ,  TEIXEIRA, Christopher, M. ,  TRAUB, Kenneth, R.

    IPC: G06T15/00

    CPC classification number: G06T15/40 ,  G06F17/5018 ,  G06F2217/16

    Abstract: To simulate physical processes, state vectors for each of multiple voxels are stored in a memory along with a representation for each of multiple facets that are sized and oriented independently of the size and orientation of the voxels and, in combination, represent one or more surfaces. Each state vector includes multiple entries, each of which corresponds to a number of elements at a particular momentum state of multiple possible momentum states at a voxel. Interaction operations that model interactions between elements of different momentum states are performed on the state vectors, and surface interaction operations that model interactions between a facet and elements at one or more voxels near the facet are performed on the representations of facets. Finally, move operations that reflect movement of elements to new voxels are performed on the state vectors.

    Abstract translation: 为了模拟物理过程，将多个体素中的每一个的状态矢量与存储器一起存储在存储器中，以及与体素的尺寸和取向无关的大小和取向的多个面的表示，并且组合地表示一个或多个表面 。 每个状态向量包括多个条目，每个条目对应于在体素处的多个可能动量状态的特定动量状态下的多个元素。 在状态向量上执行模拟不同动量状态的元素之间的交互的交互操作，并且在小平面的表示上执行在小面附近的一个或多个体素之间建模小面与元素之间的交互的表面交互操作。 最后，在状态向量上执行将元素的移动反映到新体素的操作。

    A DATA PROCESSING METHOD FOR INCLUDING THE EFFECT OF THE TORTUOSITY ON THE ACOUSTIC BEHAVIOR OF A FLUID IN A POROUS MEDIUM
    9.
    发明申请
    A DATA PROCESSING METHOD FOR INCLUDING THE EFFECT OF THE TORTUOSITY ON THE ACOUSTIC BEHAVIOR OF A FLUID IN A POROUS MEDIUM 审中-公开
    包含多孔介质中流体声学行为的影响的数据处理方法

    公开(公告)号：WO2017123435A1

    公开(公告)日：2017-07-20

    申请号：PCT/US2017/012079

    申请日：2017-01-04

    Applicant: EXA CORPORATION

    Inventor： SUN, Chenghai ,  PÉROT, Franck Léon ,  ZHANG, Raoyang ,  CHEN, Hudong ,  FREED, David M. ,  STAROSELSKY, Ilya ,  MANN, Adrien

    IPC: G06F17/50 ,  G06G7/48 ,  G06G7/60

    CPC classification number: G06F17/5009 ,  G06F17/18 ,  G06F17/5018 ,  G06F2217/82

    Abstract: Methods, systems, and apparatus, including computer programs encoded on computer storage media, for processing data representing the effect of tortuosity on the acoustic behavior of a fluid in a porous medium. One of the methods includes generating by a first data processing program of the data processing apparatus, a model of acoustic behavior of a fluid in a porous medium including an effect of tortuosity, with the model comprising a time variable indicative of a sound speed of the fluid. The method includes rescaling the time variable of the model based on the sound speed in a fluid in the porous medium. The method also includes simulating the acoustic behavior including the effect of tortuosity of the porous medium based on the rescaling of the time-related variables within the model.

    Abstract translation: 包括计算机存储介质上编码的计算机程序的方法，系统和装置，用于处理表示曲折度对多孔介质中流体的声学行为的影响的数据。 其中一种方法包括由数据处理设备的第一数据处理程序产生多孔介质中的流体的声学行为模型，该模型包括曲折效应，该模型包括指示 流体。 该方法包括基于多孔介质中的流体中的声速来重新缩放模型的时间变量。 该方法还包括基于模型内的时间相关变量的重新缩放来模拟包括多孔介质的曲折效应的声学行为。

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