Systems and methods for determining finite elements in physics simulation systems for modeling physical systems using common geometry shape function spaces

US11030365B1 · kind B1 · utility

Assignee

• COMSOL AB · SE

Inventors

• Erik Danielsson · Sundsvall, SE
• Lars Langemyr · Stockholm, SE
• Nils Malm · Lidingö, SE
• Arne Nordmark · Stocksund, SE
• Hans Rullgård · Nynäshamn, SE
• Elin Svensson · Alvesta, SE
• Henrik Sönnerlind · Ekerö, SE
• Johan Thaning · Irsta, SE
• Johan Öjemalm · Solna, SE

Key dates

• Filing date: May 10, 2017
• Grant date: Jun 8, 2021
• Expiry date: Apr 7, 2039

Classification

• Technology area (CPC G): Physics
• CPC primary: G06F2111/10
• WIPO field: Computer technology
• WIPO sector: Electrical engineering

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.