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1.发明申请Method For Assembling The Finite Element Discretization Of Arbitrary Weak Equations Involving Local Or Non-Local Multiphysics Couplings 有权用于组装有局限或非局部多物理耦合的任意弱方程有限元离散的方法公开(公告)号：US20090259447A1
公开(公告)日：2009-10-15
申请号：US12487762
申请日：2009-06-19
IPC分类号： G06F17/10
CPC分类号： G06F17/5009 , G06F17/12 , G06F17/13 , G06F17/5018
摘要： 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.
摘要翻译： 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。
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公开(公告)号：US08457932B2
公开(公告)日：2013-06-04
申请号：US12487762
申请日：2009-06-19
CPC分类号： G06F17/5009 , G06F17/12 , G06F17/13 , G06F17/5018
摘要： 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.
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3.发明授权Method for assembling the finite element discretization of arbitrary weak equations involving local or non-local multiphysics couplings 有权用于组合涉及局部或非局部多物理耦合的任意弱方程的有限元离散化的方法公开(公告)号：US07596474B2
公开(公告)日：2009-09-29
申请号：US10042936
申请日：2002-01-09
CPC分类号： G06F17/5009 , G06F17/12 , G06F17/13 , G06F17/5018
摘要： 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.
摘要翻译： 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。
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4.发明授权Method for assembling the finite element discretization of arbitrary weak equations, involving local or non-local multiphysics couplings 有权用于组合有限元离散任意弱方程的方法，涉及局部或非局部多物理耦合公开(公告)号：US07519518B2
公开(公告)日：2009-04-14
申请号：US09995222
申请日：2001-11-27
CPC分类号： G06F17/12
摘要： 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. The partial differential equations may be displayed and may in turn solve for the system of partial differential equations in accordance with a general form or a coefficient form. An automated technique provides for automatic derivation of the combined partial differential equations and boundary conditions. This technique automatically merges the equations from a plurality of application modes, and in some instances, performs symbolic differentiation of the equations, producing a single system of partial differential equations. A subset of physical quantities and associated variables not solved for may be used as initial values to the system of partial differential equations.
摘要翻译： 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。 可以显示偏微分方程，并且可以依照一般形式或系数形式解决偏微分方程的系统。 一种自动化技术提供组合偏微分方程和边界条件的自动推导。 该技术自动地合并来自多种应用模式的等式，并且在某些情况下，执行方程的符号区分，产生单一的偏微分方程系统。 未解决的物理量和相关变量的子集可以用作偏微分方程系统的初始值。
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5.发明授权公开(公告)号：US07623991B1
公开(公告)日：2009-11-24
申请号：US09675778
申请日：2000-09-29
CPC分类号： G06F17/13
摘要： Disclosed is a system for representing and modeling one or more systems in which each system corresponds to an application mode. 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. The partial differential equations may be displayed and may in turn solve for the system of partial differential equations in accordance with a general form or a coefficient form. An automated technique provides for automatic derivation of the combined partial differential equations and boundary conditions. This technique automatically merges the equations from a plurality of application modes, and in some instances, performs symbolic differentiation of the equations, producing a single system of partial differential equations. A subset of physical quantities and associated variables not solved for may be used as initial values to the system of partial differential equations.
摘要翻译： 公开了一种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系统。 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。 可以显示偏微分方程，并且可以依照一般形式或系数形式解决偏微分方程的系统。 一种自动化技术提供组合偏微分方程和边界条件的自动推导。 该技术自动地合并来自多种应用模式的等式，并且在某些情况下，执行方程的符号区分，产生单一的偏微分方程系统。 未解决的物理量和相关变量的子集可以用作偏微分方程系统的初始值。
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6.发明申请SYSTEM AND METHOD FOR ESTABLISHING BIDIRECTIONAL LINKS BETWEEN MULTIPHYSICS MODELING AND DESIGN SYSTEMS 有权用于建立多元建模与设计系统之间的双向链接的系统和方法公开(公告)号：US20120179426A1
公开(公告)日：2012-07-12
申请号：US12981404
申请日：2010-12-29
申请人： Eduardo Fontes , Lars Langemyr , Daniel Bertilsson
发明人： Eduardo Fontes , Lars Langemyr , Daniel Bertilsson
IPC分类号： G06F17/50
CPC分类号： G06F17/5018 , G06F2217/16
摘要： A system and method for implementing, on one or more processors, a bidirectional link between a design system and a multiphysics modeling system includes establishing via a communications link a connection between the design system and the multiphysics modeling system. Instructions are communicated via the communication link that include commands for generating a geometric representation in the design system based on parameters communicated from the multiphysics modeling system. One or more memory components can be configured to store a design system dynamic link library and a multiphysics modeling system dynamic link library. A controller can be operative to detect an installation of the design system, and implement via the dynamic link libraries, bidirectional communications of instructions between the design system and the multiphysics modeling system.
摘要翻译： 在一个或多个处理器上实现设计系统和多物理场建模系统之间的双向链路的系统和方法包括经由通信链路建立设计系统和多物理场建模系统之间的连接。 通过通信链路传递指令，该通信链路包括基于从多物理场建模系统传递的参数在设计系统中生成几何表示的命令。 可以将一个或多个存储器组件配置为存储设计系统动态链接库和多物理场建模系统动态链接库。 控制器可以操作以检测设计系统的安装，并通过动态链接库来实现设计系统和多物理场建模系统之间的指令的双向通信。
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7.发明申请SYSTEM AND METHOD FOR CREATING REUSABLE GEOMETRY SEQUENCES FOR MULTIPHYSICS MODELING 有权用于创建用于多元建模的可重复几何序列的系统和方法公开(公告)号：US20150363525A1
公开(公告)日：2015-12-17
申请号：US14652747
申请日：2013-12-20
申请人： Daniel BERTILSSON , Erik DANIELSSON , Lars LANGEMYR , Victor LITTMARCK , Svante LITTMARCK , Nils MALM , Daniel SMITH , Tomas NORMARK , COMSOL AB
发明人： Daniel Bertilsson , Erik Danielsson , Eduardo Fontes , Lars Langemyr , Victor Littmarck , Svante Littmarck , Nils Malm , Björn Sjödin , Daniel Smith , Tomas Normark
IPC分类号： G06F17/50
CPC分类号： G06F17/5018 , G06F8/00 , G06F8/20
摘要： A system generates a customized application data structure for modeling physical systems. The system includes a processor, an input device, optionally a display device, and a memory device. The processor is adapted to embed a multiphysics model data structure in the application data structure. The multiphysics model data structure comprises a representation of models of physical systems. Geometry data representing geometry subroutines and call data representing geometry subroutine calls are added to the embedded multiphysics model data structure. Data representing application features are added to the application data structure. Each application feature comprises one or more of (i) first data representing a form feature, or (ii) second data representing an action feature. A customized application data structure is generated providing a customized modeling of the physical systems using a modeling operation, a geometry of the one or more models of physical systems, an application feature, and a geometry subroutine.
摘要翻译： 系统生成用于建模物理系统的定制应用程序数据结构。 该系统包括处理器，输入设备，可选地显示设备和存储设备。 处理器适于在应用数据结构中嵌入多物理场模型数据结构。 多物理场模型数据结构包括物理系统模型的表示。 代表几何子例程的几何数据和表示几何子程序调用的调用数据被添加到嵌入式多物理场模型数据结构中。 表示应用程序功能的数据被添加到应用程序数据结构中。 每个应用特征包括（i）表示表单特征的第一数据或（ii）表示动作特征的第二数据中的一个或多个。 生成定制的应用数据结构，其使用建模操作，物理系统的一个或多个模型的几何，应用特征和几何子例程来提供物理系统的定制建模。
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8.发明授权System and method for establishing bidirectional links between multiphysics modeling and design systems 有权用于建立多物理场建模与设计系统之间的双向链接的系统和方法公开(公告)号：US09208270B2
公开(公告)日：2015-12-08
申请号：US12981404
申请日：2010-12-29
申请人： Eduardo Fontes , Lars Langemyr , Daniel Bertilsson
发明人： Eduardo Fontes , Lars Langemyr , Daniel Bertilsson
CPC分类号： G06F17/5018 , G06F2217/16
摘要： A system and method for implementing, on one or more processors, a bidirectional link between a design system and a multiphysics modeling system includes establishing via a communications link a connection between the design system and the multiphysics modeling system. Instructions are communicated via the communication link that include commands for generating a geometric representation in the design system based on parameters communicated from the multiphysics modeling system. One or more memory components can be configured to store a design system dynamic link library and a multiphysics modeling system dynamic link library. A controller can be operative to detect an installation of the design system, and implement via the dynamic link libraries, bidirectional communications of instructions between the design system and the multiphysics modeling system.
摘要翻译： 在一个或多个处理器上实现设计系统和多物理场建模系统之间的双向链路的系统和方法包括经由通信链路建立设计系统和多物理场建模系统之间的连接。 通过通信链路传递指令，该通信链路包括基于从多物理场建模系统传递的参数在设计系统中生成几何表示的命令。 可以将一个或多个存储器组件配置为存储设计系统动态链接库和多物理场建模系统动态链接库。 控制器可以操作以检测设计系统的安装，并通过动态链接库来实现设计系统和多物理场建模系统之间的指令的双向通信。
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9.发明授权System and method for accessing a multiphysics modeling system via a design system user interface 有权通过设计系统用户界面访问多物理场建模系统的系统和方法公开(公告)号：US08626475B1
公开(公告)日：2014-01-07
申请号：US13184293
申请日：2011-07-15
申请人： Eduardo Fontes , Lars Langemyr , Daniel Bertilsson , Anders Forsell , Johan Kannala , Tomas Normark
发明人： Eduardo Fontes , Lars Langemyr , Daniel Bertilsson , Anders Forsell , Johan Kannala , Tomas Normark
IPC分类号： G06F17/50
CPC分类号： G06F17/5018 , G06F2217/16
摘要： Systems and methods for controlling settings of a design system include receiving, via a communications interface, identifying data associated with a multiphysics modeling system. Instructions are transmitted via the communication interface or another interface. The instructions include model settings related to a multiphysics model at least partially residing in the multiphysics modeling system. Model results are received that are at least partially derived from the transmitted model settings. At least a portion of the received model results are displayed in a graphical user interface associated with the design system.
摘要翻译： 用于控制设计系统的设置的系统和方法包括经由通信接口识别与多物理场建模系统相关联的数据。 通过通信接口或其他接口传送指令。 说明书包括与至少部分驻留在多物理场建模系统中的多物理场模型相关的模型设置。 收到的模型结果至少部分地来源于传输的模型设置。 所接收的模型结果的至少一部分显示在与设计系统相关联的图形用户界面中。
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10.发明授权System and method for graphically creating models for simulating systems of reacting species 有权用于图形化建立模拟反应物种系统的模型的系统和方法公开(公告)号：US08219373B2
公开(公告)日：2012-07-10
申请号：US11206919
申请日：2005-08-19
申请人： Eduardo Fontes , Henrik von Schenck , Ottmar Raeymaeckers , Phillip Byrne , Lars Langemyr , Michael Frenklach
发明人： Eduardo Fontes , Henrik von Schenck , Ottmar Raeymaeckers , Phillip Byrne , Lars Langemyr , Michael Frenklach
IPC分类号： G06G7/58
CPC分类号： G06F19/702 , G06F19/708
摘要： A system and method for generating a model for simulating systems of reacting species comprising receiving a plurality of reaction formulas, determining a reaction rate expression for each of the received reaction formulas, and generating a model for simulating systems of reacting species using the received reaction formulas and the determined reaction rate expressions. The invention further relates to pruning the reaction list to deactivate one or more reactions in the reaction list based on one or more criteria, such as threshold criteria. A graphical user interface may also be used in connection with the present invention in various ways. An output based on the generated model may be displayed, wherein the output displays the composition and temperature dependence of the system of reacting species. Material and energy balances may also be generated for the reacting species as input to a solver of partial differential equations.
摘要翻译： 一种用于产生用于模拟反应物质的系统的模型的系统和方法，包括接收多个反应式，确定每个所接收的反应式的反应速率表达式，并且使用所接收的反应式产生模拟反应物质的体系的模型 和确定的反应速率表达式。 本发明还涉及根据一个或多个标准（例如阈值标准）修剪反应列表以停用反应列表中的一个或多个反应。 图形用户界面也可以以各种方式与本发明结合使用。 可以显示基于生成的模型的输出，其中输出显示物种反应系统的组成和温度依赖性。 材料和能量平衡也可以作为偏微分方程求解器的输入产生。
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