DynamFluid: Development and Validation of a New GUI-Based CFD Tool for the Analysis of Incompressible Non-Isothermal Flows

Redal, Héctor; Carpio, Jaime; García-Salaberri, Pablo A.; Vera, Marcos

doi:10.3390/pr7110777

Cited by 2 publications

(5 citation statements)

References 76 publications

(147 reference statements)

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“…The lid driven cavity is one of the canonical test cases for CFD with the first published applications dating from the 1970s [36,37]. This case continues to be used as a basic validation case for viscous incompressible flow solvers on coarse meshes [40]. Whilst, this work considers only low Reynolds number laminar flow, at higher Reynolds numbers this test case exhibits more complicated phenomena such as recirculations, turbulent flow structures and laminar to turbulent transition.…”

Section: Test Case -Lid Driven Cavitymentioning

confidence: 99%

“…Whilst, this work considers only low Reynolds number laminar flow, at higher Reynolds numbers this test case exhibits more complicated phenomena such as recirculations, turbulent flow structures and laminar to turbulent transition. Figure 3 from [40] gives an indication of some of the 2 dimensional flow structures. In 3D, the flow demonstrates complex unsteady turbulence phenomena such as inhomogeneous turbulence and small scale helical structures [41,42].…”

Section: Test Case -Lid Driven Cavitymentioning

confidence: 99%

“…Using the definition of U from Equation (31) and the identities from Equation (40) and Equation (41) gives:…”

Section: B32 Solving For the Unitary Coefficientsmentioning

confidence: 99%

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A Hybrid Quantum-Classical CFD Methodology with Benchmark HHL Solutions

Lapworth¹

2022

Preprint

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There has been significant progress in the development of quantum algorithms for solving linear systems of equations with a growing body of applications to Computational Fluid Dynamics (CFD) and CFD-like problems. This work extends previous work by developing a non-linear hybrid quantumclassical CFD solver and using it to generate fully converged solutions. The hybrid solver uses the SIMPLE CFD algorithm, which is common in many industrial CFD codes, and applies it to the 2-dimensional lid driven cavity test case. A theme of this work is the classical processing time needed to prepare the quantum circuit with a focus on the decomposition of the CFD matrix into a linear combination of unitaries (LCU). CFD meshes with up to 65 × 65 nodes are considered with the largest producing a LCU containing 32,767 Pauli strings. A new method for rapidly re-computing the coefficients in a LCU is proposed, although this reduces, rather than eliminates, the classical scaling issues. The quantum linear equation solver uses the Harrow, Hassidim, Lloyd (HHL) algorithm via a state-vector emulator. Test matrices are sampled from the classical CFD solver to investigate the solution accuracy that can be achieved with HHL. For the smallest 5 × 5 and 9 × 9 CFD meshes, full non-linear hybrid CFD calculations are performed. The impacts of approximating the LCU and the varying the number of ancilla rotations in the eigenvalue inversion circuit are studied. Preliminary timing results indicate that the classical computer preparation time needed for a hybrid solver is just as important to the achievement of quantum advantage in CFD as the time on the quantum computer. The reported HHL solutions and LCU decompositions provide a benchmark for future research. The CFD test matrices used in this study are available upon request.

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Section: Test Case -Lid Driven Cavitymentioning

confidence: 99%

Section: Test Case -Lid Driven Cavitymentioning

confidence: 99%

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A Hybrid Quantum-Classical CFD Methodology with Benchmark HHL Solutions

Lapworth¹

2022

Preprint

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“…The lid driven cavity is one of the canonical test cases for CFD with the first published applications dating from the 1970s [38,32] and with reference solutions provided by [39]. This case continues to be used as a basic validation case for viscous incompressible flow solvers on coarse meshes [40].…”

Section: Test Casementioning

confidence: 99%

“…Whilst, this work considers only low Reynolds number laminar flow, at higher Reynolds numbers this test case exhibits more complicated phenomena such as recirculations, turbulent flow structures and laminar to turbulent transition. Figure 2 from [40] gives an indication of some of the 2 dimensional flow structures. In 3D, the flow demonstrates complex unsteady turbulence phenomena such as inhomogeneous turbulence and small scale helical structures [41,42].…”

Section: Test Casementioning

confidence: 99%

Implicit Hybrid Quantum-Classical CFD Calculations using the HHL Algorithm

Lapworth¹

2022

Preprint

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Implicit methods are attractive for hybrid quantum-classical CFD solvers as the flow equations are combined into a single coupled matrix that is solved on the quantum device, leaving only the CFD discretisation and matrix assembly on the classical device. In this paper, an implicit hybrid solver is investigated using emulated HHL circuits. The hybrid solutions are compared with classical solutions including full eigen-system decompositions. A thorough analysis is made of how the number of qubits in the HHL eigenvalue inversion circuit affect the CFD solver's convergence rates. Loss of precision in the minimum and maximum eigenvalues have different effects and are understood by relating the corresponding eigenvectors to error waves in the CFD solver. An iterative feed-forward mechanism is identified that allows loss of precision in the HHL circuit to amplify the associated error waves. These results will be relevant to early fault tolerant CFD applications where every (logical) qubit will count. The importance of good classical estimators for the minimum and maximum eigenvalues is also relevant to the calculation of condition number for Quantum Singular Value Transformation approaches to matrix inversion.

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DynamFluid: Development and Validation of a New GUI-Based CFD Tool for the Analysis of Incompressible Non-Isothermal Flows

Cited by 2 publications

References 76 publications

A Hybrid Quantum-Classical CFD Methodology with Benchmark HHL Solutions

A Hybrid Quantum-Classical CFD Methodology with Benchmark HHL Solutions

Implicit Hybrid Quantum-Classical CFD Calculations using the HHL Algorithm

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