Numerical Computations of Elastic Torsion Using the Finite-Volume Method
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Finite volume method is predominantly used in computational fluid dynamics (CFD), and it is very rarely used in computational solid mechanics. But essentially, it is just one approach for numerical solution of PDEs (FVM discretises strong conservative form of momentum equation, while FEM uses weak form). OpenFOAM, free and open-source CFD software is used as the tool for implementation of numerical solutions of equations (a), (b) and (c). General FVM solver, based on the (a) is implemented using OpenFOAM libraries, together with appropriate Neumann BC. The solver is then tested on many examples, starting from the problems with known analytical solution (excellent agreement is found). Additional post-processing is implemented within the solver, where after determination of shear stress (calculated from the gradient of warping function field), Prandtl stress function is calculated as the stream function of stress vector field. It is shown that boundary-fitted grid which is characteristi...c for FVM is very suited for considered computations. Finally, analogy between elastic torsion and some classical fluid mechanics problems governed with the same type of the equations is analyzed.
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Finite Volume Method / elastic torsionSource:
First International Conference on Mathematical Modeling in Mechanics and Engineering, 2022, 120-Funding / projects:
- Application of Novel Measurement and Computational Techniques on Investigation of Air Flow in Ventilation Systems of Energy Extremely Efficient (“Passive”) Buildings (RS-MESTD-Technological Development (TD or TR)-35046)
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Mašinski fakultetTY - CONF AU - Ćoćić, Aleksandar PY - 2022 UR - https://machinery.mas.bg.ac.rs/handle/123456789/5525 AB - Finite volume method is predominantly used in computational fluid dynamics (CFD), and it is very rarely used in computational solid mechanics. But essentially, it is just one approach for numerical solution of PDEs (FVM discretises strong conservative form of momentum equation, while FEM uses weak form). OpenFOAM, free and open-source CFD software is used as the tool for implementation of numerical solutions of equations (a), (b) and (c). General FVM solver, based on the (a) is implemented using OpenFOAM libraries, together with appropriate Neumann BC. The solver is then tested on many examples, starting from the problems with known analytical solution (excellent agreement is found). Additional post-processing is implemented within the solver, where after determination of shear stress (calculated from the gradient of warping function field), Prandtl stress function is calculated as the stream function of stress vector field. It is shown that boundary-fitted grid which is characteristic for FVM is very suited for considered computations. Finally, analogy between elastic torsion and some classical fluid mechanics problems governed with the same type of the equations is analyzed. C3 - First International Conference on Mathematical Modeling in Mechanics and Engineering T1 - Numerical Computations of Elastic Torsion Using the Finite-Volume Method SP - 120 UR - https://hdl.handle.net/21.15107/rcub_machinery_5525 ER -
@conference{ author = "Ćoćić, Aleksandar", year = "2022", abstract = "Finite volume method is predominantly used in computational fluid dynamics (CFD), and it is very rarely used in computational solid mechanics. But essentially, it is just one approach for numerical solution of PDEs (FVM discretises strong conservative form of momentum equation, while FEM uses weak form). OpenFOAM, free and open-source CFD software is used as the tool for implementation of numerical solutions of equations (a), (b) and (c). General FVM solver, based on the (a) is implemented using OpenFOAM libraries, together with appropriate Neumann BC. The solver is then tested on many examples, starting from the problems with known analytical solution (excellent agreement is found). Additional post-processing is implemented within the solver, where after determination of shear stress (calculated from the gradient of warping function field), Prandtl stress function is calculated as the stream function of stress vector field. It is shown that boundary-fitted grid which is characteristic for FVM is very suited for considered computations. Finally, analogy between elastic torsion and some classical fluid mechanics problems governed with the same type of the equations is analyzed.", journal = "First International Conference on Mathematical Modeling in Mechanics and Engineering", title = "Numerical Computations of Elastic Torsion Using the Finite-Volume Method", pages = "120", url = "https://hdl.handle.net/21.15107/rcub_machinery_5525" }
Ćoćić, A.. (2022). Numerical Computations of Elastic Torsion Using the Finite-Volume Method. in First International Conference on Mathematical Modeling in Mechanics and Engineering, 120. https://hdl.handle.net/21.15107/rcub_machinery_5525
Ćoćić A. Numerical Computations of Elastic Torsion Using the Finite-Volume Method. in First International Conference on Mathematical Modeling in Mechanics and Engineering. 2022;:120. https://hdl.handle.net/21.15107/rcub_machinery_5525 .
Ćoćić, Aleksandar, "Numerical Computations of Elastic Torsion Using the Finite-Volume Method" in First International Conference on Mathematical Modeling in Mechanics and Engineering (2022):120, https://hdl.handle.net/21.15107/rcub_machinery_5525 .