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Title:

A quantum algorithm for the lattice-Boltzmann method advection-diffusion equation

Document type:
Zeitschriftenaufsatz
Author(s):
Wawrzyniak, David; Winter, Josef; Schmidt, Steffen; Indinger, Thomas; Janßen, Christian F.; Schramm, Uwe; Adams, Nikolaus A.
Abstract:
We present a versatile and efficient quantum algorithm based on the Lattice Boltzmann method (LBM) approximate solution of the linear advection-diffusion equation (ADE). We emphasize that the LBM approximation modifies the diffusion term of the underlying exact ADE and leads to a modified equation (mADE). Due to its versatility in terms of operator splitting, the proposed quantum LBM algorithm for the mADE provides a building block for future quantum algorithms to solve the linearized Navier-Sto...     »
Keywords:
Advection-diffusion equation; Lattice-Boltzmann method; Quantum CFD; Quantum computing
Dewey Decimal Classification:
620 Ingenieurwissenschaften
Journal title:
Computer Physics Communications
Year:
2025
Journal volume:
306
Pages contribution:
109373
Covered by:
Scopus
Language:
en
Fulltext / DOI:
doi:10.1016/j.cpc.2024.109373
Publisher:
Elsevier BV
E-ISSN:
0010-4655
Notes:
The authors gratefully acknowledge funding for this research from Altair Engineering Inc., The authors gratefully acknowledge the Leibniz Supercomputing Centre (www.lrz.de) for providing access and computing time on the Atos QLM system for this project. The system has been funded by the Bavarian state government through the Hightech Agenda Bayern.
Submitted:
02.02.2024
Accepted:
05.09.2024
Date of publication:
01.01.2025
Copyright statement:
The authors gratefully acknowledge funding for this research from Altair Engineering Inc., The authors gratefully acknowledge the Leibniz Supercomputing Centre (www.lrz.de) for providing access and computing time on the Atos QLM system for this project. The system has been funded by the Bavarian state government through the Hightech Agenda Bayern.
TUM Institution:
Lehrstuhl für Aerodynamik und Strömungsmechanik
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