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the high-speed and robust matrix
solver
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Realizes
faster calculation speed with the software (algorithms) while keeping
the hardware expenses.
| Accelerates and
stabilizes numerical solution of CFD, structural, electromagnetic
and scientific simulations. |
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Super Matrix Solver series,
the high-speed matrix solvers were developed
for acceleration and stabilization of calculations to solve
simultaneous linear equation systems in numerical analyses
such as CFD and structural analyses.
Modules that comprise the Super Matrix Solver series are based on
various devices for high speed calculation. An example of such feature
is an implementation of the latest technology for acceleration of
iterative method that was commercialized by VINAS, which is based
on the basic theory developed by the National Aerospace Laboratory
of Japan (currently the Japan Aerospace Exploration Agency).
Super Matrix Solver series provide a line of solvers that are based
on iterative or direct method, and those dedicated for boundary element
method, from which the users may select a module that is most suitable
for their applications. |
| Developed
by VINAS Co., Ltd. |
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Features of
Super Matrix Solver |
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- Different types of solution
methods (e.g. iterative and direct methods) to choose from depending
on the types of problems.
- Simple to use with easy-to-understand manuals.
- Easy to integrate the modules that are provided in executable format
(e.g. DLL); no need for special mathematical knowledge.
- Accommodates various platforms.
- Complete with support system for product evaluation, integration and
use. |
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- Simultaneous linear equation systems
that are derived from discretization of differential, finite element,
finite volume or boundary element methods.
- Problems that are generated from various types of analyses such as CFD,
structural, electromagnetic, plastic mold flow and electronic circuit analyses.
- Other types of analyses in engineering fields. |
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Super Matrix
Solver Series |
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| Solution Method |
Product Name |
Characteristics |
| Iterative Method |
SMS-AMG |
High-speed AMG method has been accelerated and stabilized
with proprietary technology. |
| P-ICCG |
Parallel version of ICCG
method with many actual performance results in various analysis
fields. |
| SMS-BLK |
Robust and general-purpose solver
which calculates both of symmetric and asymmetric problems and
also calculates complex number in addition to real number.
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| Direct Method |
MF |
Packaged product of MultiFrontal method, which is the fastest
method in direct methods. Easy to use without complex setup. |
| Boundary Element Method |
SMS-BEM |
Proprietary hybrid solver based on direct and iterative
methods. Dedicated for dense matrices that are generated with
boundary element method (BEM). |
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Comparison
of Each Type of Solution Method Applied to the Super Matrix
Solver Series |
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| Solution Method |
Iterative Method |
Direct Method |
Boundary Element Method |
| Product Name |
SMS-AMG |
P-ICCG |
SMS-BLK |
MF |
SMS-BEM |
| Target Coefficient Matrix |
Sparse |
Sparse |
Sparse |
Sparse |
Dense |
| Calculation of Asymmetric Problems |
Yes |
No |
Yes |
Yes |
Yes |
Calculation of Problems with
Zero Diagonal elements |
No |
Yes |
Yes |
Yes |
- |
| Handling of Complex Numbers |
No |
Yes |
Yes |
No |
Yes |
| Parallelization |
No |
SMP |
No |
No |
No |
| Application Fields |
CFD and Electromagnetic Analyses |
CFD, Electromagnetic and Structural Analyses |
CFD and Structural Analyses |
CFD, Electromagnetic and Structural Analyses |
Electromagnetic, Acoustic and CFD Analyses |
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Analysis Fields |
Matrix Types |
Handling of Different Matrix Types |
Iterative Method |
Direct Method |
Hybrid |
SMS
-AMG |
P-ICCG |
SMS
-BLK |
MF |
SMS
-BEM |
CFD
Electromagetic |
Sparse Matrix |
Symmetric |
Real |
With diagonal zero elements |
- |
Yes |
Yes |
Yes |
- |
| No diagonal zero elements |
Yes |
Yes |
Yes |
Yes |
- |
| Complex |
With/no diagonal zero elements |
- |
Yes |
Yes |
Yes |
- |
| Asymmetric |
Real |
With diagonal zero elements |
- |
- |
Yes |
Yes |
- |
| No diagonal zero elements |
Yes |
- |
Yes |
Yes |
- |
| Complex |
With/no diagonal zero elements |
- |
- |
Yes |
Yes |
- |
CFD/Electromagnetic
Acoustic |
BEM
Dense Matrix |
Symmetric/
Asymmetric |
Real/
Complex |
- |
- |
- |
- |
- |
Yes |
| Structural |
Solid Element
(3DOF) |
Sparse Matrix |
Symmetric |
Real |
- |
Yes |
Yes |
Yes |
Yes |
- |
Shell Element
(6DOF) |
- |
- |
Yes |
Yes |
Yes |
- |
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- >>Comparison
-SMS-AMG vs. conventional solvers
- Breakage Analysis of Concrete Structure
>> Hokkaido University
- Analysis of Flow-Induced Vibration of
Nuclear Reactor Fuel Rods
>> Saitama Institute of Technology
- Plastic Mold Flow Analysis
>> Plamedia Corporation
- Electromagnetic Analysis
>> MU Tech Co., Ltd. |
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| OS |
CPU Type
(Architecture) |
Product Name |
| SMS-AMG |
P-ICCG |
SMS-BLK |
MF |
SMS-BEM |
| Windows |
IA32 |
released |
released |
released |
released |
released |
| EM64T/AMD64 |
released |
released |
TBD |
released |
released |
| Linux |
IA32 |
released |
released |
TBD |
released |
released |
| EM64T/AMD64 |
released |
released |
TBD |
released |
released |
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| - Super
Matrix Solver Brochure (PDF/989KB ) |
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Consulting
and Services |
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- High-speed research on contract
basis
- License distribution
- Consulting
- We provide consultations
on speeding up different types of solvers.
- Please contact us for further information on speed-up and stabilization
of your solvers (including proprietary solvers). |
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