Math2Market GmbH Hall 7 / K1

Exhibitor Profile

Math2Market develops the simulation software GeoDict to design better performing filter media, pleated elements, and complete filters with housing.

GeoDict models complete filters, filter elements, and filter media starting from 3D image data of filter media (µCT, FIB/SEM), CAD models of filter elements, or user-defined media parameters. Models (nonwoven, woven, ceramic, foams, cellulose, glass- and steel-fiber, metal wire mesh, membranes, honeycomb...) are geometrically analyzed and filtration properties are simulated in many fluids (air, oil, water, fuel, blood...). GeoDict characterizes pore size distribution, bubble point, maximum through pore, fluid flow, particle movement and deposition, MPPS, clogging, and cake formation. GeoDict calculates pressure drop, filter efficiency, and filter capacity.

With GeoDict®,

  • resolve complicated filtration issues

  • interactively modify the filter models to optimize the filtration process

  • automate complex parameter studies

  • drastically reduce prototyping and cut time and R&D cost

  • substantially accelerate the design and production of innovative filters and media

Math2Market’s GeoDict is the leader in filtration simulation and efficient computer-aided filter media design.

Products / Markets

Product Index

  • Simulation

Market Scope

  • Abwasserwirtschaft
  • Automobilindustrie
  • Chemische Industrie
  • Filtrations- und Separationsindustrie
  • Keramik-, Glasindustrie
  • Kunststoffverarbeitende Industrie
  • Luft- und Raumfahrtindustrie
  • Mineralöl/Öl/Gasproduktion
  • Textilindustrie
  • Zellstoff-, Papierindustrie

Product Index

  • Simulation

Market Scope

  • Aerospace Industry
  • Automotive Industry
  • Ceramic, Glass Industry
  • Chemical Industries
  • Filtration and Separation Industry
  • Mineral / Oil / Gas Production
  • Plastic Industry
  • Pulp, Paper Industry
  • Textile Industry
  • Waste Water Treatment

Product Index

  • 模拟

Market Scope

  •  汽车工业
  • 化学工业
  • 塑料工业
  • 废水处理
  • 矿产/石油/天然气业
  • 纸浆、造纸工业
  • 纺织工业
  • 航空航天业
  • 过滤与分离工业
  • 陶瓷、玻璃工业

Product Index

  • محاكاة

Market Scope

  • إنتاج المعادن والزيوت والغاز
  • الصناعة الكيماوية
  • الصناعة النسيجية
  • الصناعة الورقية
  • صناعات الفلترة وفصل المواد
  • صناعة البلاستيك
  • صناعة الزجاج والفخار / السيراميك
  • صناعة السيارات
  • صناعة الفضاء
  • معالجة مياه الصرف

Product Index

  • Simulation

Market Scope

  • Industrie automobile
  • Industrie aérospatiale
  • Industrie chimique
  • Industrie de filtration et de séparation
  • Industrie de la céramique et du verre
  • Industrie de la pâte de cellulose et du papier
  • Industrie des matières synthétiques
  • Industrie textile
  • Productions minérales / pétrolière / du gaz
  • Traitement des eaux usées

Product Index

  • Simulazione

Market Scope

  • Produzioni minerali / petrolio / gas
  • Settore aerospaziale
  • Settore automobilistico
  • Settore ceramica e vetro
  • Settore chimico
  • Settore filtrazione e separazione
  • Settore industria dell carta e della cellulosa
  • Settore industria tessile
  • Settore plastica
  • Trattamento acque reflue

Product Index

  • Symulacja

Market Scope

  • Filtrowanie i separacja
  • Oczyszczanie ścieków (waste water)
  • Produkcja szkła i ceramiki
  • Przemysł celulozowo-papierniczy
  • Przemysł chemiczny
  • Przemysł lotniczy
  • Przemysł samochodowy
  • Przemysł tekstylny
  • Przemysł tworzyw sztucznych
  • Wydobycie minerałów, ropy i gazu

Product Index

  • Simulação

Market Scope

  • Cerâmica, indústria vidreira
  • Indústria aeroespacial
  • Indústria automóvel
  • Indústria de filtragem e separação
  • Indústria dos plásticos
  • Indústria têxtil
  • Indústrias químicas
  • Pasta, indústria do papel
  • Produção mineral / óleo / gás
  • Tratamento de água de despejo

Product Index

  • Имитация

Market Scope

  • Авиакосмическая промышленность
  • Автомобильная промышленность
  • Бумажная промышленность
  • Добыча минералов/ нефти/ газа
  • Керамическая, стекольная промышленность
  • Отрасль фильтрации и сепарирования
  • Очистка сточных вод
  • Производство пластмасс
  • Текстильная промышленность
  • Химическая промышленность

Product Index

  • Simulación

Market Scope

  • Industria aeroespacial
  • Industria de la automoción
  • Industria de la cerámica y el cristal
  • Industria de la filtración y la separación
  • Industria de la pasta de madera, el papel
  • Industria de los plásticos
  • Industria textil
  • Industrias químicas
  • Producción de minerales / petróleo / gas
  • Tratamiento de aguas residuales

Product Index

  • Simülasyon

Market Scope

  • Atıksu Arıtma
  • Filtrasyon ve Ayırma Endüstrisi
  • Havacılık Endüstrisi
  • Kimya Endüstrisi
  • Mineral / Petrol / Gaz Üretimi
  • Otomotiv Endüstrisi
  • Plastik Endüstrisi
  • Selüloz, Kağıt Endüstrisi
  • Seramik, Cam Endüstrisi
  • Tekstil Endüstrisi

Product Index

  • 시뮬레이션

Market Scope

  • 광물 / 석유 / 가스 생산
  • 섬유 산업
  • 세라믹, 유리 산업
  • 여과 및 분리 산업
  • 자동차 산업
  • 제지, 종이 산업
  • 폐수 처리
  • 플라스틱 산업
  • 항공우주 산업
  • 화학 산업

Product Index

  • シミュレーション

Market Scope

  • セラミック、ガラス産業
  • パルプ、製紙業界
  • プラスチック業界
  • 化学工業
  • 汚水処理
  • 濾過および分離技術工業
  • 繊維業界
  • 自動車産業
  • 航空宇宙産業
  • 鉱物・石油・ガス生産

Press release

The GeoDict simulation software of Math2Market is part of the ASTM E2814-18 international standard

MATH2MARKET GmbH is a leader in providing software and consulting solutions for the design of innovative filter media, and for the improvement of filtration processes from its location in Kaiserslautern, Germany, near Frankfurt. Math2Market’s team, with an extensive research background, develops and supplies the GeoDict® software for R&D in numerous industries. For the filtration industry, Math2Market supports pioneering digital filter development and design to improve pressure drop, efficiency, and lifetime of filters, while at the same time greatly reducing, or even eliminating, expensive and time-consuming experimental testing.

Math2Market’s software GeoDict® only needs user-defined specifications, micro-CT and FIB/SEM images of filter media, or CAD models of filter elements to produce structural models of filter elements, pleats, and media (nonwoven, woven, metal and plastic meshes, synthetic media and papers, ceramics, open-cell foams, membranes, gradient materials…). Then, it analyzes pore size distribution, bubble point, fluid flow, pressure drop, particle capture, MPPS, depth filtration, clogging, dust holding capacity, and cake formation in the digital models. Gas filtration (air: DPF, HVAC) or liquid filtration (oil filter, hydraulic filters, sludge filtration, water, blood…) processes are simulated taking into account fluid density and viscosity, Brownian motion, inertial impaction, electrostatic forces, adhesion forces, and particle size and mass distribution. The possibilities of digital non-destructive testing are virtually boundless.

Math2Market software products are a worthwhile new technological strategy, used by internationally renowned manufacturers in the filtration industry to optimize processes, to cut prototyping and R&D costs, to accelerate the design of filters and filter media greatly, and to boost their competitive edge.

Conference Presentation/s

Conference Session: F7 - Filter Media Development Supported by Simulation Methods I

Filter modeling and simulation with GeoDict

M. Azimian, A. Weber, A. Wiegmann, Math2Market GmbH, Germany

Several key parameters are essential as input data to precisely simulate the filtration characteristics of a filter element at macro scale, e.g. simulating the particles filtration through a whole filter with housing, as shown in Fig. 1. Flow conditions, simulation stop criterion, the fluid and particles characteristics, as well as input parameters related to the micro-structure of the media, should be defined. The main input parameters for the macro-scale simulation, which are related to the micro-structure of the media, are: permeability of the media, maximum particle packing density and maximum flow resistivity for both the depth filtration regime and cake filtration regime (four parameters), and also the fractional filtration efficiencies. These parameters are routinely obtained by flat sheet experiments through the filter media. However, the GeoDict software, a pioneer modeling and simulation tool can be applied to obtain these input parameters, thus reducing the need for the time-consuming and costly experimental tests.

The study of the micro-structure of the filter media is the starting point to understand, analyze, and optimize a filter. The first simulation step on the media scale (here woven media) consists of modeling the micro-structure of the woven media using WeaveGeo module of GeoDict...


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Conference Session: G6 - Short Oral Presentations

Modeling and simulation of catalytic converters for exhaust gas after-treatment with GeoDict

A. Weber*, M. Azimian, Math2Market GmbH, Germany

Since many years, the software GeoDict is used to simulate filtration processes and modeling of filtration media. This includes simulation of the air flow inside the filter as well as tracking particles and simulation of their interaction on the filter surface.

In our newest version - GeoDict 2021 - we have adapted these functionalities for the simulation of Diesel Particulate Filters and Catalyst Monoliths. For example, new ways of modeling monolithic structures, detailed diffusive movement statistics, and 1st order reaction simulation are now available. These improvements aim to model and optimize air flow, soot filtering, and noxious gas reduction in exhaust gas systems.

Exhaust gas treatment bears many challenging problems at different scales. From the larger scale, where macroscopic flow through the monolith channels is of interest, down to the diffusive movement between and even inside the highly porous ceramic grains. Surely, completely different effects take place at each scale. Nevertheless, GeoDict simulates all those effects through different modeling and simulation modules.

At different scales and using various modules, we present some examples on how:

  • The flow passes through a plugged or un-plugged monolith
  • The molecules interact with the washcoat layer and the catalytic centers within
  • The catalytic reaction is simulated in the micro scale

In essence, we show how GeoDict helps optimizing the catalytic and filtration efficiency....


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Conference Session: G6 - Short Oral Presentations

Simulation of slip flow for nanofiber filters

L. Cheng*, S. Linden, A. Wiegmann, Math2Market GmbH, Germany

When the air in motion contacts with a solid surface, usually the air is thought to be approaching to a complete stop at the surface, and the velocity is zero relative to the solid surface. However, when the solid is so small that when the air passes the solid, only a fraction of the air molecules contact the surface. As the result, only those molecules have their velocities changed. The remaining air molecules remain their bulk flow motion. When we still consider the air as a continuum, the air velocity near the solid surface is not zero. That is the phenomenon called as slip flow.

The slip flow effect explains the low pressure drop for nanofiber filters because fewer air molecules exchange momentum with the fiber, there is less air drag on the fiber leading to less energy loss. Also because of the slip flow, the flow streamline is closer to the fiber surface and the single fiber efficiency of small particles is increased on nanofiber [1]. Therefore, the slip flow is a very important factor for nanofiber filtration. It must be considered when simulating the nanofiber filtration.

The slip flow was studied historically either with empirical equations or for very simple 1D or 2D structures, which cannot provide detailed information for a complicated 3D fibrous material structure. Cheng et al. [2] presented the approach to implement slip flow for 3D voxelized structures. In this approach, the expression of the slip velocity, which assumes the slip velocity proportional to the shear stress at the surface, is reformulated for a locally quadratic velocity profile instead of the standard linear profile, and reimplemented in our flow solver. The direct simulation of the slip flow is then possible, and it can be validated with analytic solutions.

The simulation results are compared to the newly obtained measurement data for nanofiber filters. The influence of slip flow in nanofiber structures then is studied and the results of flow and filtration simulations are presented...


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