公开(公告)号：US11934752B1

公开(公告)日：2024-03-19

申请号：US17019987

申请日：2020-09-14

Applicant: COMSOL AB

Inventor： Arne Nordmark ,  Eduardo Fontes ,  Hans Rullgãrd ,  Henrik Sõnnerlind ,  Johan Öjemalm ,  Lars Langemyr ,  Daniel Bertilsson ,  Nils Malm ,  Johan Thaning ,  Eduardo Gonzalez ,  Niklas Rom ,  Simon Erlandsson

IPC: G06F30/23

CPC classification number: G06F30/23

Abstract: A graphical user interface includes GUI elements configured for defining discretized base geometry data for a model of a physical system, receiving a first input representing a user instruction to add a perfectly matched layer to the model, receiving a second input representing the user selection of boundaries that define a base geometry, and receiving a third input representing extra geometry meshing instructions. Extra geometry line segment data is discretized representing an outward direction of a PML from the boundary according to the extra geometry meshing instructions. Weak form expressions representing a wave-related phenomena are formed based on received PML settings and physics settings parameterized using discretized base geometry data and discretized extra geometry data. Matrix data are generated based on the formed weak form expressions. A solution to a simulation of the wave-related phenomena of the model is generated based on the formed weak form expressions. A graphical representation of the solution is generated for display on the GUI.

公开(公告)号：US20140222384A1

公开(公告)日：2014-08-07

申请号：US13840664

申请日：2013-03-15

Applicant: COMSOL AB

Inventor： Arne Nordmark ,  Eduardo Fontes ,  Hans Rullgård ,  Henrik Sönnerlind ,  Johan Öjemalm ,  Lars Langemyr ,  Daniel Bertilsson ,  Nils Malm ,  Johan Thaning ,  Eduardo Gonzalez ,  Niklas Rom

IPC: G06F17/50

CPC classification number: G06F17/5018

Abstract: A simulation apparatus for adding extra geometries to a model of a physical system. The apparatus is configured to modify a geometry of a model of a physical system represented in terms of a combined set of equations. Instructions on the apparatus cause one or more processors to perform, upon execution, acts comprising: (i) receiving a base geometry of the physical system, (ii) receiving one or more extra geometries associated with the base geometry, (iii) determining first geometric entities of the base geometry and second geometric entities of the extra geometry, (iv) adding the extra geometries to the base geometry by computing a product geometry of the determined first geometric entities and the second geometric entities, (v) generating an updated combined set of equations including representations of the product geometry, and (vi) generating a graphical representation of the product geometry, the graphical representation configured for display on the display device.

Abstract translation: 用于向物理系统的模型添加额外几何的模拟装置。 该装置被配置为修改以组合方程组表示的物理系统的模型的几何形状。 关于装置的指令导致一个或多个处理器在执行时执行动作，包括：（i）接收物理系统的基本几何，（ii）接收与基本几何相关联的一个或多个额外几何，（iii）确定第一 （iv）通过计算所确定的第一几何实体和第二几何实体的产品几何形状，将额外的几何形状加到基础几何中，（v）生成更新的组合的几何实体; 包括产品几何的表示的方程组，和（vi）生成产品几何的图形表示，该图形表示被配置为在显示装置上显示。

公开(公告)号：US11030365B1

公开(公告)日：2021-06-08

申请号：US15591290

申请日：2017-05-10

Applicant: Comsol AB

Inventor： Erik Danielsson ,  Lars Langemyr ,  Nils Malm ,  Arne Nordmark ,  Hans Rullgård ,  Elin Svensson ,  Henrik Sönnerlind ,  Johan Thaning ,  Johan Öjemalm

IPC: G06F30/23 ,  G06F3/0482 ,  G06F111/10

Abstract: Systems and methods for modeling physical systems include displaying geometric representation of a physical system on a physics simulation system. User-selection inputs received indicate, for mesh elements, selections of dependent variable shape function spaces representing dependent variables. Geometry shape function space options for simulating the physical system are determined that are common to mesh elements and include a serendipity shape function space of second order or higher. A determined geometry shape function space option is a subset of a combination of the dependent variable shape function spaces and satisfies accuracy criteria based on an accuracy ordering of shape function spaces. A finite element mesh for the physical system is created based on the mesh elements, a selected geometry shape function space, and the selection of dependent variable shape function spaces. A solution to a finite element simulation of the physical system being modeled is generated and the geometric representation displayed.

公开(公告)号：US08954302B2

公开(公告)日：2015-02-10

申请号：US13793763

申请日：2013-03-11

Applicant: Comsol AB

Inventor： Lars Langemyr ,  Daniel Bertilsson ,  Arne Nordmark ,  Per-Olof Persson ,  Jerome Long

IPC: G06F17/10 ,  G06F17/50 ,  G06F17/12

CPC classification number: G06F17/5009 ,  G06F17/12 ,  G06F17/13 ,  G06F17/5018

Abstract: Disclosed are techniques for representing and modeling systems in which each system corresponds to an application mode. This may be done for one or more geometries using local and/or non-local couplings. For each application mode, physical quantities are modeled and may be defined using a graphical user interface. Physical properties may be used to model the physical quantities of each system. The physical properties may be defined in terms of numerical values or constants, and mathematical expressions that may include numerical values, space coordinates, time coordinates, and actual physical quantities. Physical quantities and any associated variables may apply to some or all of a geometric domain, and may also be disabled in other parts of a geometrical domain. Partial differential equations describe the physical quantities. One or more application modes may be combined using an automated technique into a combined system of partial differential equations as a multiphysics model.

Abstract translation: 公开了用于表示和建模系统的技术，其中每个系统对应于应用模式。 这可以对于使用本地和/或非本地耦合的一个或多个几何形状来完成。 对于每个应用程序模式，物理量都被建模，并且可以使用图形用户界面进行定义。 物理性质可用于建模每个系统的物理量。 物理性质可以用数值或常数来定义，而数学表达式可以包括数值，空间坐标，时间坐标和实际物理量。 物理量和任何相关的变量可以应用于几何域中的一些或全部，并且也可能在几何域的其他部分被禁用。 部分微分方程描述物理量。 一个或多个应用模式可以使用自动化技术组合成作为多物理场模型的偏微分方程的组合系统。

公开(公告)号：US10776541B2

公开(公告)日：2020-09-15

申请号：US16045935

申请日：2018-07-26

Applicant: Comsol AB

Inventor： Arne Nordmark ,  Eduardo Fontes ,  Hans Rullgärd ,  Henrik Sönnerlind ,  Johan Öjemalm ,  Lars Langemyr ,  Daniel Bertilsson ,  Nils Malm ,  Johan Thaning ,  Eduardo Gonzalez ,  Niklas Rom

IPC: G06F30/23

Abstract: A simulation apparatus for adding extra geometries to a model of a physical system. The apparatus is configured to modify a geometry of a model of a physical system represented in terms of a combined set of equations. Instructions on the apparatus cause one or more processors to perform, upon execution, acts comprising: (i) receiving a base geometry of the physical system, (ii) receiving one or more extra geometries associated with the base geometry, (iii) determining first geometric entities of the base geometry and second geometric entities of the extra geometry, (iv) adding the extra geometries to the base geometry by computing a product geometry of the determined first geometric entities and the second geometric entities, (v) generating an updated combined set of equations including representations of the product geometry, and (vi) generating a graphical representation of the product geometry, the graphical representation configured for display on the display device.

公开(公告)号：US20180357347A1

公开(公告)日：2018-12-13

申请号：US16045935

申请日：2018-07-26

Applicant: Comsol AB

Inventor： Arne Nordmark ,  Eduardo Fontes ,  Hans Rullgärd ,  Henrik Sönnerlind ,  Johan Öjemalm ,  Lars Langemyr ,  Daniel Bertilsson ,  Nils Malm ,  Johan Thaning ,  Eduardo Gonzalez ,  Niklas Rom

IPC: G06F17/50

Abstract: A simulation apparatus for adding extra geometries to a model of a physical system. The apparatus is configured to modify a geometry of a model of a physical system represented in terms of a combined set of equations. Instructions on the apparatus cause one or more processors to perform, upon execution, acts comprising: (i) receiving a base geometry of the physical system, (ii) receiving one or more extra geometries associated with the base geometry, (iii) determining first geometric entities of the base geometry and second geometric entities of the extra geometry, (iv) adding the extra geometries to the base geometry by computing a product geometry of the determined first geometric entities and the second geometric entities, (v) generating an updated combined set of equations including representations of the product geometry, and (vi) generating a graphical representation of the product geometry, the graphical representation configured for display on the display device.

公开(公告)号：US20130197886A1

公开(公告)日：2013-08-01

申请号：US13793763

申请日：2013-03-11

Applicant: Comsol AB

Inventor： Lars Langemyr ,  Daniel Bertilsson ,  Arne Nordmark ,  Per-Olof Persson ,  Jerome Long

IPC: G06F17/50

CPC classification number: G06F17/5009 ,  G06F17/12 ,  G06F17/13 ,  G06F17/5018

Abstract: Disclosed are techniques for representing and modeling one or more systems in which each system corresponds to an application mode. This may be done for one or more geometries using local and/or non-local couplings. For each application mode, physical quantities are modeled and may be defined using a graphical user interface. Physical properties may be used to model the physical quantities of each system. The physical properties may be defined in terms of numerical values or constants, and mathematical expressions that may include numerical values, space coordinates, time coordinates, and actual physical quantities. Physical quantities and any associated variables may apply to some or all of a geometric domain, and may also be disabled in other parts of a geometrical domain. Partial differential equations describe the physical quantities. One or more application modes may be combined using an automated technique into a combined system of partial differential equations as a multiphysics model. A portion of the physical quantities and variables associated with the combined system may be selectively solved for. Also described are methods for computing the stiffness matrix, residual vector, constraint matrix, and constraint residual vector for the finite element discretization of a system of partial differential equations in weak form that includes local and non-local variables coupling multiple geometries.

Abstract translation: 公开了用于表示和建模其中每个系统对应于应用模式的一个或多个系统的技术。 这可以对于使用本地和/或非本地耦合的一个或多个几何形状来完成。 对于每个应用程序模式，物理量都被建模，并且可以使用图形用户界面进行定义。 物理性质可用于建模每个系统的物理量。 物理性质可以用数值或常数来定义，而数学表达式可以包括数值，空间坐标，时间坐标和实际物理量。 物理量和任何相关的变量可以应用于几何域中的一些或全部，并且也可能在几何域的其他部分被禁用。 部分微分方程描述物理量。 一个或多个应用模式可以使用自动化技术组合成作为多物理场模型的偏微分方程的组合系统。 可以选择性地解决与组合系统相关联的物理量和变量的一部分。 还描述了用于计算弱形​​式的偏微分方程系统的有限元离散的刚度矩阵，残差矢量，约束矩阵和约束残差矢量的方法，其包括耦合多个几何的局部和非局部变量。